According to Brad, consumers claim to prefer the brand-name products better than the generics, but they can't even tell which is which. To test his theory, Brad gives each of 199 consumers two potato chips - one generic, and one brand-name - then asks them which one is the brand-name chip. 92 of the subjects correctly identified the brand-name chip.
Required:
a. At the 0.01 level of significance, is this significantly greater than the 50% that could be expected simply by chance?
b. Find the test statistic value.
Answers
Answer:
a. There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.
b. Test statistic z=-1.001
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the proportion that correctly identifies the chip is significantly smaller than 50%.
Then, the null and alternative hypothesis are:
\(H_0: \pi=0.5\\\\H_a:\pi<0.5\)
The significance level is 0.01.
The sample has a size n=199.
The sample proportion is p=0.462.
\(p=X/n=92/199=0.462\)
The standard error of the proportion is:
\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{199}}\\\\\\ \sigma_p=\sqrt{0.001256}=0.035\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.462-0.5+0.5/199}{0.035}=\dfrac{-0.035}{0.035}=-1.001\)
This test is a left-tailed test, so the P-value for this test is calculated as:
\(\text{P-value}=P(z<-1.001)=0.16\)
As the P-value (0.16) is greater than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.
Related Questions
How does the jet stream affect weather around the world? For 100 points!!!
Answers
Answer:
How Do Jet Streams Affect Weather? The fast-moving air currents in a jet stream can transport weather systems across the United States, affecting temperature and precipitation. However, if a weather system is far away from a jet stream, it might stay in one place, causing heat waves or floods.
Step-by-step explanation:
Your answer is A
The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
Answers
The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.
As per the given data, the given formula is:
\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.
Where,
T is the time it takes for a pendulum to make one full swing back and forth (in seconds).
L is the length of the pendulum, in feet.
Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.
Substitute the given parameters into the formula will give;
\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)
Now divide both sides by 2π.
\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)
\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)
Then taking square on both sides.
\($ (0.3024)^2=\frac{L}{32} \\\)
0.09144576 = \($\frac{L}{32}\)
Later multiply both sides by 32.
2.9262 = L
The approximate value of the length of a pendulum:
L ≈ 3
Therefore, the length of a pendulum is about 3 feet.
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A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
What is value of the first quartile?
3
6
8
11
Answers
6 is the first quartile
Step-by-step explanation:
hope it helps!
The value of the first quartile is = 6
Calculation of first quartileThe first quartile can be calculated arranging the data and finding the median of the first lower figures.
The given set of numbers arranged from smallest to the highest number is:
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
The first lower data are,
3, 5, 5, 6, 6, 6, 7, 7, 8, 8,
The median of the given data are two numbers which is 6+6/2 = 6.
Therefore, the value of the first quartile is = 6
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Calculate the distance between the points (4,-2) and (7,-9)
Answers
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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In a large population, 58 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Answers
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
If 58% = 58÷100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)×p(5)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
P(5)=Probability that the fifth out of the five has not been vaccinated
Remember that 42÷100 of the population has not been vaccinated. Therefore,
P(1) = 42÷100
P(2) = 42÷100
P(3) = 42÷100
P(4) = 42÷100
P(5)=42÷100
P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)
P(0) = (42÷100)⁵
P(0) = (0.42)⁵
P(0) = 0.013067
Therefore, from equation (1);
P( > 1 ) = 1 -0.013067
P( > 1 ) = 0.98693
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
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whats is the anwser to twelve times twenty
Answers
Answer:240
Step-by-step explanation:
120
× 12
------
240
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
Answers
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
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Find the x- and y-intercept of each fraction. 5x - 2y = 10
Answers
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
Answers
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
different equation dy÷dx+ytanx=secx
Answers
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?
3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?
Answers
The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds
A fraction is defined as a part of a whole quantity.
1. Leftover pizza = 3/8
Pizza used as breakfast = 3/4 of left-over pizza
= 3/4 of 3/8
The of is calculated by the use of multiplication
The fractions are multiplied as follows:
The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Pizza used as breakfast = 3/4 * 3/8
= 3 * 3 / 4 * 8
= 9/32
2. 3/5 of bag of coffee weighs = 6/7 pounds
1 bag of coffee weighs = 6/7 ÷ 3/5
The fractions are divided as follows:
The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Thus, = 6/7 * 5/3
= 6 * 5 / 7 * 3
= 30/21
= 10/7 pounds
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Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
Answers
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
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Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47
DARNELL WAS TOLD TO STOCK 3 APPLES FOR EVERY 5 ORANGES iF HE RESTOCKED 15 APPLES HOW MANY ORANGES MUST BE RESTOCK
Answers
5•5=25
So 25
Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.
Answers
Answer:
0.25
Step-by-step explanation:
3 white counters and 1 black counter,
3+1 = 4
the chances of you choosing the black counter is 1/4
1/4 can also be written as 0.25.
Answer:
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.
Step-by-step explanation:
Probability is the likeliness of occurrence of an event.
Given
There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements
n(S) = 4
Let B be the event that the drawn out counter is black. As there is only one black counter
n(B) = 1
The probability of choosing a black counter is:
\(P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25\)
Hence,
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.
evaluate 8(b divided by 2) - (c+4) when b = 1/2 and c = 1/4
Answers
\(\huge\text{Hey there!}\)
\(\huge\boxed{\mathsf{8(\dfrac{1}{2}\div2)- (\dfrac{1}{4} + 4)}}\\\\\\\huge\boxed{\mathsf{= 8(\dfrac{1}{4}) - (\dfrac{1}{4}+ 4)}}\\\\\\\huge\boxed{\mathsf{= 2 - (\dfrac{1}{4}+4)}}\\\\\\\huge\boxed{\mathsf{= 2 - \dfrac{17}{4}}}\\\\\\\huge\boxed{= \mathsf{ - \dfrac{9}{4}}}\\\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{- \dfrac{9}{4}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\huge\boxed{\star \ \frak{Amphitrite1040:)}\ \heartsuit }\)
A line is drawn so that it passes through the points (3, 4) and (0, 5) . What is the slope of the line?
Answers
Answer:
-1/3
Step-by-step explanation:
Y2-Y1 plug in 5-4. 1
---------- ------- = --
X2-X1 plug in 0-3 -3
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
The domain can be best described using interval notation. The domain is [1,∞].
A continuous function is graphed here. The function is continuous only on where it is defined. That is, the graph of the function does not have any discontinuities from 1 to infinity.
The domain of a function is the x-values for which the function is defined. That is for such x-values, the function will attain some y-value, which is called the function value. This function values corresponding to each x-value sketches the graph.
From the figure, the graph is started from x = 1 and is extended to infinity.
So it is better to express the domain in an interval form.
Graph of the function is a curve. So the domain is [1,∞].
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a single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3
Answers
Answer:
2/3
Step-by-step explanation:
if GM of two numbers is 15 and their HM is 9. find these two numbers?
Answers
Answer:
(45,5) ans
Step-by-step explanation:
gm=√ab
15= √ab
15^2=ab
again,
hm=2ab/a+b
9=2×15^2/a+b
a+b=50
Now
ab=15^2
(50-b)b=225
b^2-50b+225=0
(b-45)(b-5)=0
putting value
a=45,5
So value is
(45,5)
Segment RS is rotated 90 counterclockwise about the origin and then reflected over the y-axis. The resulting segment R"S" has coordinates R" (3,2) and R" (6,-5) . What are the coordinates of the segment RS ?
Answers
The coordinates of RS are R(2, 3) and S(-5, 6)
What is rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Given:
Segment RS is rotated 90 counterclockwise about the origin
So, When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
Also, the coordinates are reflected over y- axis.
So, The coordinates of RS before reflection over y- axis is
R(-3, 2) and S(-6, -5)
Now, the coordinates of RS before rotation is
R(2, 3) and S(-5, 6)
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Please help I’ll mark you as brainliest if correct!
Answers
Answer: 96, 192, and 384
Step-by-step explanation:
It keeps doubling 48 + 48, 96 + 96, 192 + 192
simplify the fraction 84/96
Answers
Answer:
The simplest form of 84/96 is 7/8.
Step-by-step explanation:
Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.
Which scatterplot shows the strongest negative linear association?
Answers
Answer:
The scatterplot that shows the strongest negative linear association would have the points on the plot in a downward slope from left to right. The closer the points are to forming a straight line going from the upper left to the lower right, the stronger the negative linear association is. The points on the scatterplot with the strongest negative linear association will be closely clustered along a line, indicating a clear and strong relationship between the two variables being plotted.
Three hundred new ones cost $2100. what would be the cost of 120 new ones
Answers
Answer:
840
Step-by-step explanation:
120 is 40% of 300, and 840 is 40% of 2100 is 840.
Answer:
840
Step-by-step explanation:
Find the area of the rectangle on this centimetre grid.
Answers
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
Answers
1.7a+0.3a=0.8
2a=0.8
a=0.4
Ashley’s car weighs more than Joseph’s car Joseph wrote the following equation for the weight of his car 24x10
Answers
how to solve this limit problem?
Answers
Answer:
Привет, как ты?
самый умный я
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?
Answers
Answer:
63/50 meters^2 or in mixed number: 1 13/50 meters^2
Step-by-step explanation:
Area= length * width
length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22
width= 3/10
21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).
21*3 / 5*10
The solution is Option A.
The area of rectangular garden is A = 1 13/50 meters
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular garden be A
Now , the equation will be
The length of the rectangle = 4 1/5 meters
The length of the rectangle = 21/5 meters
The width of the rectangle = 3/10 meters
So , Area of Rectangle = Length x Width
The area of the rectangular garden A = ( 21/5 ) x ( 3/10 )
On simplifying the equation , we get
The area of the rectangular garden A = 63/50
The area of the rectangular garden A = 1 13/50 meters
Hence , the area of the rectangular garden is 1 13/50 meters
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A manufacturer uses 34 yard of fabric in each skirt.
How many yards of fabric will the manufacturer use in 4 skirts? in 7 skirts? in 9 skirts?
Answers
Answer:
She would use 136 yards in 4 skirts, 238 yards in 7 skirts, and 306 yards in 9 skirts. Hope this helps
Step-by-step explanation: