Suppose a researcher is conducting a two-way Chi-square test to evaluate the relationship between gender and preference among 4 different designs for a new automobile. Each participant in a sample of 40 men and 40 women selects a favorite design from the 4 choices. If the researcher obtains a calculated value of Chi-square of 8.27, what is the appropriate statistical decision for the test? A. Reject the null hypothesis at the .05 level of significance but fail to reject the null hypothesis at the .01 level of significance B. Fail to reject the null hypothesis at the .05 level of significance and at the .01 level of significance C. Reject the null hypothesis at the .05 level of significance and at the .01 level of significance D. Impossible to answer without additional information
Answers
Therefore, the appropriate statistical decision for the test is: A. Reject the null hypothesis at the .05 level of significance but fail to reject the null hypothesis at the .01 level of significance. option a
The researcher is conducting a two-way chi-square test to evaluate the relationship between gender and preference among 4 different designs for a new automobile. The researcher obtains a calculated value of Chi-square of 8.27.
The appropriate statistical decision for the test is:
A. Reject the null hypothesis at the .05 level of significance but fail to reject the null hypothesis at the .01 level of significance, The null hypothesis (H0) in this scenario is that there is no significant relationship between gender and preference among 4 different designs for a new automobile.
Thus, in order to test the null hypothesis, the researcher uses a two-way chi-square test.
Using the Chi-square test, the researcher obtains a calculated value of Chi-square of 8.27. Then, the researcher has to determine the appropriate statistical decision for the test.
The degrees of freedom (df) are calculated as follows:
df = (r-1) x (c-1).
Where, r is the number of rows and c is the number of columns.
df = (2 - 1) x (4 - 1) = 3
Using the Chi-square distribution table with 3 degrees of freedom at the .05 level of significance and at the .01 level of significance, we get the critical values:
Critical value at .05 = 7.815Critical value at .01 = 11.345
Therefore, the researcher rejects the null hypothesis at the .05 level of significance since the calculated value of Chi-square (8.27) is greater than the critical value (7.815), which indicates a statistically significant relationship between gender and preference among 4 different designs for a new automobile.
However, the researcher fails to reject the null hypothesis at the .01 level of significance since the calculated value of Chi-square (8.27) is less than the critical value (11.345), which indicates that the result is not statistically significant at that level.
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Related Questions
find an equation of the plane through the point and perpendicular to the line
Answers
To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:
1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".
2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".
3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).
The equation of the plane can be written as:
Ax + By + Cz = D,
where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.
To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:
A(x₀) + B(y₀) + C(z₀) = D.
Therefore, the equation of the plane through the given point and perpendicular to the line is:
d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,
where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.
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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.
Label the following numbers as rational or irrational
Answers
B. Is rational number
D. Is Irrational number
E. None
A. Is a rational number.
That’s All I know
Hope it helps :))
Have a nice day
Answers:
a) rationalb) rationalc) rationald) irrationale) rationalEverything is rational but choice D
=======================================================
Explanation:
A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.
So that's why -4/11 is rational. Here we have p = -4 and q = 11.
Any terminating decimal is rational. For choice A, we have 3.14 = 314/100
Choice C is also rational because \(\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}\)
Choice E is rational since 6 = 6/1.
In short, choices A, B, C, and E are rational.
------------------
The only irrational answer is d) 2pi
pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.
A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?
Answers
Answer:
I think the truck would be 210 inches long
Given the second-order linear homogeneous ordinary differential equa- tion with variable coefficients dạy d.x2 2.0 (1 – 2:2) d?y dy +m(m+1)y = 0, MER, 0, dc use y(x) = ananth to obtain n=0 8 P}(k)aoxk-2 + P3(k)a1.mk-1 + branth - 0, n=0 - where Pi} (k), P2 (k) are polynomials of degree 2 to be determined. Find the roots of the polynomial equation P) (k) = 0 and comment on the coefficients ao and a, in light of the smaller one of these two roots. Next, using the smaller root, establish an explicit expression for the general term bn, and thus derive a recurrence relation between an+2 and an Finally, using the recurrence relation you have found above, obtain the first three terms of two linearly independent series solutions in their simplest form, one with even and one with odd powers of x.
Answers
Answer:.
Step-by-step explanation:
A rectangle field is 10m longer than its width. If the perimeter is 300cm, find;
i) Its width
ii) the area if the rectangular field
Answers
Answer:
w = 70 cm
A = 5600cm^2
Step-by-step explanation:
P = 2(l+w) where l is the length and w is the width
300 = 2(l+w)
We know the length is 10 longer than the width
l = w+10
300 = 2(w+10+w)
Divide each side by 2
300/2 = (w+10+w)
150 = (2w+10)
Subtract 10 from each side
150-10 = 2w
140 = 2w
Divide by 2
140/2 = w
70 = w
Now find the area
A = l*w
A = (w+10) * w
= (70+10) *70
= 80*70
5600
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Answers
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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Why do you think the military police (MPs) confronted the men at the reservoir shack? Do you think the MPs did the right thing? Do you think Kaz and his men did the right thing? Explain.
Farewell To Manzanar, Chapter 6-11. IF U GET IT RIGHT U GET BRAINLIEST, 5 STARS AND THANKS
Answers
Answer:
ywes
Step-by-step explanation:
Which choice shows (50+30) + 40 correctly rewritten using the associative property and then correctly simplified"
50+40+30= 90+30= 120
(30+50) + 40 = 80+ 40 = 120
50+ (30+40) = 50 + 70 = 120
O 50+(30+40) = 80 + 40 = 120
Answers
The required simplified value of the given expression is 120.
Given that the expression as;
(50 + 30) + 40.
What is simplification?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here, we have;
= (50 + 30) + 40
Now, using associative property, in parenthesis 50 + 30 become 80.
= 80 + 40
Then using associative property, 80 + 40 become 120
= 120
Thus, the simplified value is 120.
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Question mode multiple choice question despite the large number of media options today, the average millennial still blank______ for an average of 10 hours every week.
Answers
– 4 = 5(p – 2)
plz help me if you know this.
Answers
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2)
-4 = 5p - 10
-4 + 10 = (5p - 10) + 10
6 = 5p
6/5 = (5p)/5
6/5 = p
p = 6/5
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2) (DISTRIBUTE)
-4 = 5p - 10 (ADD 10 TO BOTH SIDES)
6 = 5p (DIVIDE BY FIVE ON BOTH SIDES)
p = 6/5
If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
Answers
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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a survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job.
Answers
The statement cannot be assumed to be true based solely on a survey of 1455 people.
While the survey results indicate that 53% of the surveyed population works a full-time job, it is not sufficient evidence to make assumptions about the entire U.S. population. A survey sample size of 1455 people may not accurately represent the diversity and demographics of the entire U.S. population, which consists of millions of individuals.
To make a valid assumption about the entire U.S. population, a more comprehensive and representative survey or data collection method would be required. This could involve surveying a much larger and more diverse sample size or gathering data from reliable sources such as government statistics or labor market reports.
Making assumptions about the entire population based on a small survey sample can lead to inaccurate conclusions and generalizations. The U.S. population is complex and dynamic, with variations in employment patterns, demographics, and other factors that cannot be fully captured by a limited survey sample.
Therefore, while the survey results provide insights into the surveyed population, it is not appropriate to assume that the same percentage of the entire U.S. population works a full-time job based solely on this survey.
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What is the least common multiple of 4,5 and 12 ?
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
I hope this helps! if you go to calculator soup and type lcm in it, it can tell you the answers. Please give me brainliest.
Calculator soup will explain to you it's answers.
Write the rational number as A/B in simplest form 0.34
Answers
Problem
Write the rational number as A/B in simplest form 0.34
Solution
For this case we can do the following:
\(\text{0}.34=\frac{34}{100}\)And if we simplify we got:
\(\frac{34}{100}=\frac{17}{50}\)Which of the following parabolas opens down?
A. Directrix: y = -5; focus: (2, 6)
B. Directrix: y = 5; focus: (2,-6)
C. Directrix: y = 5; focus: (2,6)
D. Directrix: y = -5; focus: (-2, 6)
Answers
Answer:
B
Step-by-step explanation:
Please help me with this
Answers
Answer:
3/5
Step-by-step explanation:
I just looked up how to do this since I've never done it before, so if I'm wrong I'm sorry, but from what I found all you have to do is put the opposite(o) over the hypotenuse(h) o/h which would be 9/15 and simplified it would be 3/5, and again if I'm wrong I'm sorry.
I hope this helps, and have a great day!
Pls help asap, will do brainlest
Answers
Answer:
i got 2730 hope its right
Step-by-step explanation:
Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =
Answers
Step-by-step explanation:
\( f(x) = - 3 {x}^{2} + 9x - 2\)
A) f(-2) + f(1) = -32 + 4 = -28
B) f(-2) - f(1) = -32 - 4 = -36
the area of trapezoid abcd is 164 cm2 . the altitude is 8 cm, ab is 10 cm, and cd is 17 cm. what is bc, in centimeters?
Answers
The area of trapezoid abcd is 164 cm2 with an altitude is 8cm, ab is 10 cm, and cd is 17 cm and bc=10cm
The area of a trapezoid can be calculated if the length of its parallel sides and the distance between them are given. The formula for the area of a trapezoid is expressed as,
A = ½ (a + b) h
where (A) is the area of a trapezoid, 'a' and 'b' are the bases and 'h' is the height.
Given that Area of trapezoid A=164 and the altitude is 8 cm, ab is 10 cm, and cd is 17cm.
Substitute these values in the formula:
164=8(BC+AD)/2
8(BC+AD)=328
BC+AD=41
Drop perpendiculars from B to AD and from C to AD and let them hit AD at E and F respectively. Note that each of these perpendiculars has a length of 8.
From the Pythagorean Theorem, AE=6 and DF=15 thus AD=BC+21. Substituting back into our original equation we have
BC+BC+21=41
2BC=20
BC=10cm.
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A triangle is placed in a semicircle with a radius of 3 mm, as shown below. Find the area of the shaded region.
Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
The area of the shaded region is approximately 3 mm^2.
Step-by-step explanation:
To find the area of the shaded region, we need to find the area of the triangle and subtract the area of the circle that overlaps with the triangle. We know the radius of the semi-circle is 3mm, and therefore the radius of the whole circle is 6mm. We can use the formula A = 1/2 * base * height for the triangle, and the formula A = π * r^2 for the area of the circle.
Calculate the height of the triangle:
We can use the formula h = sqrt((9mm^2 - b^2) / 4), where h is the height of the triangle and b is the base of the triangle, to calculate the height of the triangle. Since the triangle is isosceles, we know that base = 3mm. Therefore, the height of the triangle is h = sqrt((9mm^2 - 3mm^2) / 4) = sqrt(12mm^2 / 4) = sqrt(3 mm).
2. Calculate the area of the triangle:
The area of the triangle is A = 1/2 * base * height = 1/2 * 3mm * sqrt(3 mm) = sqrt(3 mm) = 0.5389 mm^2.
3. Calculate the area of the overlapping region:
The circle that overlaps with the triangle has a diameter of 6mm. Therefore, its area is A = π * r^2, where r = radius = 3mm. Therefore, the area of the overlapping region is A = π * 3mm^2 = π * 0.09 mm^2.
4. Calculate the area of the shaded region:
The area of the shaded region is the area of the semicircle minus the area of the overlapping region. Therefore, the area of the shaded region is A = π * 6mm^2 - A = π * 6mm^2 - π * 0.09 mm^2 = 2.993 mm^2.
Therefore, the area of the shaded region is approximately 3 mm^2.
Roast turkey costs $5.99 per pound. How much would 2.5 pounds cost?
Answers
Answer:
$14.975
Step-by-step explanation:
Multiply them togther.
Answer:
14.975
Step-by-step explanation:
its simple just divide 5.99 in half then multiply 5.99 by two and then add the answer you got when you divided then you get your answer
When I do not get a perfect score on my test, I feel __________.
Answers
Answer:
When I do not get a perfect score on my test, I feel __dissapointed________.
Step-by-step explanation:
Answer:
Step-by-step explanation:
scared to go home
please show steps. thanks
1. [5 Points] Simplify e3 In z - 24 - 4x + 2 X
Answers
The equation e³ in z - 24 - 4x + 2x simplifies to e^(3i*z) - 24 - 2x.
We are to simplify the expression e³in z - 24 - 4x + 2x.
Recall that e is the base of natural logarithms and has a constant value of approximately 2.71828.
Simplifying e³in z - 24 - 4x + 2x.
First, we should note that e³in z means e raised to the power of 3i * z. We then have the expression as follows:
e^(3i*z) - 24 - 2x
Therefore, we conclude that e³in z - 24 - 4x + 2x simplifies to e^(3i*z) - 24 - 2x.
Thus the solution is:
e³in z - 24 - 4x + 2x = e^(3i*z) - 24 - 2x.
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I need answer and explanation for this please
Answers
Answer:
slice priced $1.50 is better value
Step-by-step explanation:
Angles around a point add up to 360°
Area of a circle = πr²
360° ÷ 60° = 6
⇒ This slice is 1/6 of the whole pizza
⇒ area of the slice = (1/6)π × 6² = 6π in²
⇒ $1.50 ÷ 6π = $0.079577... per in²
360° ÷ 45° = 8
⇒ This slice is 1/8 of the whole pizza
⇒ area of the slice = (1/8)π × 7² = (49/8)π in²
⇒ $1.70 ÷ (49/8)π = $0.088347.. per in²
Therefore, the slice priced $1.50 is cheaper per in²
The boys football team is selling game tickets for a football game. Adult admission is $8 and student admission is $6 there are usually twice as many students than adults at the game. If the goal is to make $3000. Write 2 equations. Solve the system of equations, how many student and adult tickets must be sold? Let a = the number of adults and b = the number of students
Answers
To make $3000 selling game tickets, the boys football team needs to sell a combination of adult and student tickets. Solving the system of equations gives the number of adult and student tickets that must be sold 150 adult tickets and 300 student tickets.
The first equation relates the number of adults and students: since there are twice as many students as adults, we can write
b = 2a
where b is the number of students and a is the number of adults.
The second equation relates the revenue from ticket sales to the number of adults and students
8a + 6b = 3000
where 8a is the revenue from adult tickets and 6b is the revenue from student tickets.
Now we can substitute the first equation into the second equation to get
8a + 6(2a) = 3000
Simplifying, we get
20a = 3000
Dividing by 20, we get
a = 150
This means we need to sell 150 adult tickets. Using the first equation, we can find the number of student tickets
b = 2a = 2(150) = 300
So we need to sell 300 student tickets.
Therefore, the boys football team must sell 150 adult tickets and 300 student tickets to reach their goal of making $3000.
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Find the area of the shaded region.
Give the exact answer.
60°
0
6
A =
Answers
Answer:
25.35
Step-by-step explanation:
Area of the shaded portion = Area of semicircle - Area of the right triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.52
Area of triangle = 1/2 * base * height
Get the height using the SOH CAH TOA identity
sin 60 = H/12
H = 12sin60
H = 12(0.8660)
H = 10.39
Get the base
12² = b²+10.39²
144 = b²+108
b² = 144 - 108
b² = 36
b = 6
Area of triangle = 1/2 * 6 * 10.39
Area of triangle = 3 * 10.39
Area of triangle = 31.17
Area of shaded portion = 56.52 - 31.17
Area of shaded portion = 25.35
A convenience store sells two brands of orange juice Brand A contains 11 fluid once and costs
$2.31. Brand B contains 15 fluid ounces and costs $2.70.
What is the difference in cost, in dollars, per fluid ounce between the two brands of juice
Answers
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
a square has a side length of 2.3 feet. what is the area of the square?
Answers
Answer:
4.6
Step-by-step explanation:
2.3*2=4.6
Enjoy! ^^
Answer:
9.2
Step-by-step explanation:
2.3 x 4 = 9.2
What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)?
parallelogram
rhombus
quadrilateral
rectangle
Answers
Answer:
The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.
To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.
Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1
Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1
Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0
Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0
We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.
While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.
Step-by-step explanation:
Please help! Answer in the picture!!! Urgent
