For the given margin of error and confidence level, determine the sample size required. Show your answer in the integer form. You wish to estimate the proportion of shoppers that use credit cards. Obtain a sample size that will ensure a margin of error of at most 0.065 for a 92.5% confidence interval.
Answers
The sample size required to ensure a margin of error of at most 0.065 for a 92.5% confidence interval is 523.
To estimate the proportion of shoppers using credit cards with a desired margin of error and confidence level, determining the appropriate sample size is crucial.
In this scenario, we aim to achieve a margin of error of no more than 0.065 for a 92.5% confidence interval. The sample size required to fulfill these criteria is 523.
To comprehend the significance of these calculations, it's essential to understand the concepts of margin of error and confidence level. The margin of error represents the maximum amount of uncertainty we can tolerate in our estimate.
In this case, we want our estimate of the proportion of shoppers using credit cards to be accurate within ±0.065. A smaller margin of error indicates greater precision in our estimate.
The confidence level, on the other hand, reflects the level of certainty we have in the accuracy of our estimate.
A confidence level of 92.5% implies that if we were to repeat the sampling process numerous times, we would expect approximately 92.5% of the resulting confidence intervals to contain the true proportion of credit card-using shoppers.
The formula to calculate the sample size required for a proportion estimation is based on the desired margin of error, confidence level, and an assumed proportion (usually 0.5 for maximum variability).
This formula incorporates a z-value, which corresponds to the desired confidence level. For a 92.5% confidence level, the z-value is approximately 1.81.
By plugging the values into the formula and solving for the sample size, we find that a sample size of 523 is necessary to estimate the proportion of shoppers using credit cards with a margin of error no greater than 0.065 and a confidence level of 92.5%.
Learn more about confidence level
brainly.com/question/22851322
#SPJ11
Related Questions
Find the value of x in each case: b)
I will give 20 Brainly points if answered within 30 minutes!!!!!!
Answers
Answer:
15 DEGREES
Step-by-step explanation:
OK SO BASICALLY, USING THE EXTERIOR ANGLES THEOREM, YOU FIND THAT 9x = 5x + something. That something is 4x so:
9x = 5x + 4x
THEN YOU FIND THAT 8x = 5x + something. That something is 3x so:
8x = 5x + 3x
4x and 3x and 5x are the interior angles of the triangle (ABC)
Then you use triangle theorem and get 4x + 3x + 5x = 180
Then: 12x = 180 and so you get x = 15
Tập xác định of hàm số is . f ( x ) = sin x
Answers
2. 20% of what number is 15
Answers
Answer:
75
20 percent (calculated percentage %) of what number equals 15? Answer: 75
PLSSS HELP!!!!!!!!!!!!!
Answers
Evaluate the expression. −6−(−8)+6=
Answers
Answer:
8
Step-by-step explanation:
−6−(−8)+6
=2+6
=8
3( x - 4) = -2( 4 - x)
Answers
3x-2x=-8+12
X=4
Please make me brainlist.
Step-by-step explanation:
first multyply x-4 by 3
second: same as first no:
put the algebric expression in same side
then do 3x-2x = -8 plus 12
then your answer is ready
I’m so confused about this problem please help me
Answers
Answer:
C
Step-by-step explanation:
Pi's approximate value is 3.14, and each dash on the number line represents 0.01. C is closest to the 4th dash.
researchers use sample results in an attempt to estimate an unknown population statistic.
T/F
Answers
The answer is True. Researchers must carefully consider their sampling methods and statistical techniques to ensure that their results are reliable and valid. Overall, using sample results to estimate unknown population statistics is a common practice in statistics and plays an important role in research and decision-making processes.
In statistics, researchers often use sample data to make inferences about a larger population. This is because it is often impractical or impossible to collect data from every single individual in a population. Instead, researchers select a smaller group, known as a sample, and use statistical methods to analyze the data collected from this group. By doing so, they can estimate or infer characteristics of the larger population. However, it is important to note that the accuracy of these estimates depends on the size and representativeness of the sample, as well as the statistical methods used.
Taking a sample allows researchers to save time and resources while still obtaining reliable information about the population. The accuracy of these estimates depends on factors such as sample size and sampling methods. In summary, using sample results to estimate an unknown population statistic is a common and useful practice in research.
To know more about statistical visit:-
https://brainly.com/question/15109187
#SPJ11
Given the following probability distribution, what is the expected value (or mean) of X? (Round yur answer to one decimal place)
x P(x)
-100 0.2
-25 0.2
25 0.5
100 0.1
Answers
The expected value (or mean) of X is -2.5.
Expected value or the mean is a statistical measure of central tendency that takes into account the probabilities of each possible outcome. It is the sum of each possible outcome multiplied by its probability. The formula for expected value is:
Expected Value (E) = ∑ [Xi * P(Xi)]
Here, the probability distribution table for the random variable X is given:
x P(x)
100 0.2
25 0.2
25 0.5
100 0.1
Thus,
Expected value (E) of X = (-100 * 0.2) + (-25 * 0.2) + (25 * 0.5) + (100 * 0.1)= -20 - 5 + 12.5 + 10
= -2.5
Therefore, the expected value or the mean of X is -2.5.
To learn more about expected value: https://brainly.com/question/24305645
#SPJ11
The graph of which function(s) will contain the point (4, 12)?
y = x + 8
y = 3x
y = 2x
y = x + 6
(one or more than one)
Answers
Answer:
y=3x
Step-by-step explanation:
X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answers
Answer:
problem 2
Step-by-step explanation:
The feeding time constraint for cats can be written symbolically as:
12 minutes/day * number of cats <= 8 hours/day
The feeding time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
The pampering time constraint for cats can be written symbolically as:
16 minutes/day * number of cats <= 8 hours/day
The pampering time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
Layla's dog eats 5/8 of a pound of food each day. Layla has a bag containing 3 3/4 pounds of
dog food. How many days will the bag feed Layla's dog?
Answers
Answer:
6 days
Step-by-step explanation:
You just divide 3/8 by 3 3/4. Hope this helps you!!!
Georgianna wants to use the linear model associated with the data in the table to make a prediction. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18. Which range of time values describes the entire interval over which she would be interpolating?.
Answers
The range of time values describes the entire interval over which Georgiana would be interpolating is 0 to 30 minutes.
What is the domain and range of a function?
The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
As in the table, the minimum time for which the distance is defined is 0 minutes while the maximum time is 30 minutes. Therefore, the range of time values describes the entire interval over which Georgiana would be interpolating is 0 to 30 minutes.
Learn more about Domain and Range here
https://brainly.com/question/9740428
#SPJ4
Answer:
C
Step-by-step explanation:
Sincerity is a valuable attribute when declining a promotion.
Answers
Sincerity is indeed a valuable attribute when declining a promotion. It reflects honesty, authenticity, and respect for oneself and others involved in the decision-making process.
Being sincere in declining a promotion can help maintain positive relationships, preserve trust, and ensure open communication within the professional setting.
When faced with the decision to decline a promotion, expressing sincerity is essential. By being sincere, one communicates their genuine thoughts and feelings about the promotion, providing transparency to their superiors and colleagues. Sincerity demonstrates honesty and integrity, as individuals express their true desires and motivations without resorting to insincere or fabricated reasons.
It shows respect for the organization and the opportunity presented, while also considering personal goals, aspirations, and career trajectory. Additionally, sincerity in declining a promotion helps foster positive relationships with superiors, as they appreciate the open and honest communication, leading to a better understanding of one's professional aspirations and potential for growth. Overall, sincerity in such situations promotes a healthy work environment built on trust, understanding, and mutual respect.
To learn more about communication click here:
brainly.com/question/29811467
#SPJ11
In an arithmetic sequence, U1 3 1.3, U2 = 1.4 and Uk = 31.2 Consider the terms, Un; of this sequence such that n < k. (a) Find the value of k (6) Find the exact value of Sk'
Answers
The value of k given sequence is =300 and the value of the term Sk=4875,
In mathematics, we may come across different types of numbers, and patterns. One of the number patterns includes sequences. The sequence is a specified collection of objects in which repetitions are allowed and order matters. Formally, a sequence is a function from natural numbers to the elements at each position. Similar to a set, it contains members, and they are called elements or terms. The number of elements is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and the order does matter.
value of k
U1 =1.3
U2= 1.4
Uk = 31.2
a = 1.3
d = 1.4 - 1.3 = 0.1
Uk = 1.3 + (k - 1)(0.1)
=> 1.3 + (k - 1)(0.1) = 31.2
=> (k - 1)(0.1) = 29.9
=> k - 1 = 299
=> k = 300
Sk = (300/2)(1.3 + 31.2)
= 150 * (32.5)
= 4875
F is the sum of the terms for which the term is not a multiple of 3
3rd term = 1.5
6th term = 1.8
300th term = 31.2
Total terms = 100
Sum = (100/2)(1.5 + 31.2) = 1635
F = 4875 - 1635 = 3240
Learn More about sum.
https://brainly.com/question/1380936
#SPJ4
The equation y = 2x is proportional True or False?
Answers
Explaining:non thing
Answer:
False.
Step-by-step explanation:
Cause yes. im bad at explaining.
need these both solved pls nowww
Answers
The simplified exponents are given as follows:
\(\sqrt[5]{288 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)\((216r^{9})^{\frac{1}{3}} = 6r^3\)How to simplify the rational expressions?The first rational expression is given as follows:
\(\sqrt[5]{288p^7}\)
The number 288 can be simplified as follows:
\(288 = 2^5 \times 3^2\)
\(p^7\), can be simplified as \(p^7 = p^5 \times p^2\), hence the simplified expression is given as follows:
\(\sqrt[5]{2^5 \times 3^2 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)
(as we simplify the exponents of 5 with the power)
The second expression is given as follows:
\((216r^{9})^{\frac{1}{3}}\)
We have that 216 = 6³, hence we can apply the power of power rule to obtain the simplified expression as follows:
3 x 1/3 = 1 -> 6¹.9 x 1/3 = 3 -> r³.(the power of power rule means that we keep the base and multiply the exponents).
Hence the simplified expression is of:
\((216r^{9})^{\frac{1}{3}} = 6r^3\)
More can be learned about exponent rules at https://brainly.com/question/11975096
#SPJ1
WILL GIVE BRAINIEST!!!
Answers
The quadratic regression equation that best fits the data is given as follows:
y = -0.127x² + 4.699x - 27.777.
How to obtain the regression equation?Regression equations are obtained inserting the points of a data-set into a calculator.
In this problem, we want to find the quadratic regression equation, hence a quadratic regression calculator is used.
From the table given on the image, the points that will be used to build the quadratic regression equation are given as follows:
(16, 15), (18, 15.6), (20, 15.7), (21, 15), (23, 13.1), (26, 8.9), (27, 6.6).
Inserting these points into a calculator, the quadratic regression equation that best fits the data is given as follows:
y = -0.127x² + 4.699x - 27.777.
This means that the correct option is the fourth and last option.
More can be learned about regression equations at https://brainly.com/question/29613968
#SPJ1
how many solutions does 6 -3x = 12 - 6x have?
A. two solutions.
B. no solutions.
C. one solution.
D. infinitely many solutions.
Answers
Answer:
Step-by-step explanation:
6-3x=12-6x
Only one solution of x=2
Which of the following rational numbers is the largest? 0.9 –8/9 –2 1/2 9/4
Answers
Answer: 9/4
order from least to greatest:
-2 1/2
-8/9
0.9
9/4
A store owner bought 15001500 pencils at \$0.10$0.10 each. If he sells them for \$0.25$0.25 each, how many of them must he sell to make a profit of exactly \$100.00$100.00
Answers
Based on the information given, the number of pencils that should be sold will be 1000 pencils.
Let the number that should be sold be x.
A store owner bought 1500 pencils at $0.10 each. Therefore, the cost price will be:
= 1500 × $0.10 = $150
Profit = Selling price - Cost price
100 = 0.25x - 150
0.25x = 100 + 150
0.25x = 250
x = 250/0.25
x = 1000
Therefore, 1000 pencils should be sold.
Learn more about equations on:
https://brainly.com/question/13802812
please help asap please
Answers
Answer:
take away 8 from 14 then see if the answer works for x by doing 28 - that answer
Step-by-step explanation:
A sample contains 2/3 oz. of liquid. How many milliliters (mL) is this?
Answers
A sample containing 2/3 oz. of liquid is approximately 19.72 milliliters (mL).
To convert 2/3 oz. of liquid to milliliters (mL):
1. Identify the conversion factor: There are approximately 29.5735 mL in 1 ounce (oz).
2. Set up a proportion: To convert 2/3 oz. to mL, we need to multiply the given amount by the conversion factor.
(2/3 oz.) x (29.5735 mL/1 oz.)
3. Cancel out the units: The "oz" units will cancel out, leaving us with mL.
(2/3) x (29.5735 mL)
4. Multiply the fraction by the conversion factor: Now, multiply 2/3 by 29.5735.
(2/3) x 29.5735 = 19.7157
5. Round the result: We'll round the result to two decimal places to make it easier to understand.
19.7157 mL = 19.72 mL
So, a sample containing 2/3 oz. of liquid is approximately 19.72 milliliters.
To know more about sample click here
brainly.com/question/29415684
#SPJ11
Ahab pays 1.15 x 10^3 dollars for one year's tuition ay naylor's university his sister attends north central university and pays 2.8 x 10^3 dollars in tuition for her first year what is the difference in tuition paid by ahab and his sister? answer in scientific notation without units the coefficient may be exact or rounded to 2 decimal places
Answers
Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Review the following subtraction rules and properties:
The subtraction identity property (also known as the zero subtraction rule): Any number minus zero is equal to itself. \((2-0=2)\)The rule of subtraction by one: any number minus one will decrease that number by one. \((5- 1 = 4)\)Rule of subtraction number minus itself: any number minus itself is equal to zero. \((2 - 2 = 0)\)Number minus the number immediately before the Subtraction rule: any number minus the number immediately before it is equal to one. \((3 -2 = 1)\)Inverse operation: reverses the effect of another operation. Subtraction reverses addition. (Because \(3 + 2 = 5\), then \(5 - 2 = 3\) and \(5 - 3 = 2\))Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year
To find: Difference in tuition fees paid by Ahab and his sister?
Solution:
To find the difference in their fees we have to perform simply normal subtraction
Subtract the fees of his sister from Ahab's fees which is as follows:
\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Learn more about Subtraction here:
https://brainly.com/question/1927340
#SPJ4
Jackie wants to take out an ad in the newspaper for her upcoming garage sale. She can buy a 4-line ad for $4.35 that will run for three days. If she wants to spend no more than $15 on advertising, how long can she advertise?
Answers
Answer:
She can advertise for 10 days
Step-by-step explanation:
Here, we want to know for how long can Jackie advertise if she decides to buy a 4-line ad which will run for three days.
The total money she has or she wants to spend is $15.
Now if $4.35 will run for 3 days
then $15 will run for x days
4.35 * x = 15 * 3
4.35x = 45
x = 45/4.35
x = 10.34 which is approximately 10 to the nearest whole number
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answers
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
used to find the midpoint between two points (x1,y1) and (x2,y2)
what is the formula?
Answers
A line passes through the origin and has a slope of 2/3
Answers
Answer:
y=2/3x
Step-by-step explanation:
the origin is the point (0,0) and the given slope is 2/3
the equation for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the slope is given, meanwhile, the y intercept is the point where the line passes through the y axis, and the x value is 0.
In this question, we actually have the y intercept given, which is (0,0)
we can put it all together then:
y=2/3x+0
or
y=2/3x
Hope this helps :)
Solve the quadratic F(x)=x^2+10x-1
Please explain.
Answers
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ1
Work out the surface area of this cylinder.
6 cm radius
25 cm height
Answers
Step-by-step explanation:
given,
radius = 6 cm
height = 25 cm
we know,
Surface area of cylinder = 2πrh + 2πr²
after inserting the values we got,
→ 2 × 22/7 × 6 × 25 + 2 × 22/7 × 36
→ 942.85 + 226.28
→ 169.13
hope this answer helps you dear...may u have a great day ahead!.