Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 95% confidence that your error is no more than 0.035. The sample should includemen and women.(Type whole numbers.) **Sample Size Calculation for Estimating Difference in Population Proportions**To estimate the difference between two population proportions with a margin of error \( E \) and a confidence level of \( 1 - \alpha \), use the following formula:\[E = z_{\alpha/2} \sqrt{\frac{p_1 q_1}{n_1} + \frac{p_2 q_2}{n_2}}\]Where:- \( z_{\alpha/2} \) is the z-value corresponding to the desired confidence level.- \( p_1 \) and \( p_2 \) are the estimated proportions for each population.- \( q_1 = 1 - p_1 \) and \( q_2 = 1 - p_2 \).- \( n_1 \) and \( n_2 \) are the sample sizes for each population.To simplify calculations when the sample sizes are the same (\( n_1 = n_2 = n \)), and \( p_1 \), \( q_1 \), \( p_2 \), and \( q_2 \) are unknown, assume these proportions as 0.5 for maximum variability. This simplifies the expression for \( n \):\[n = \frac{z_{\alpha/2}^2}{2E^2}\]This formula helps determine the sample size required to achieve the desired accuracy in estimating the difference between two proportions.

Answered: Image /qna-images/answer/5bcec9c4-aee5-49ca-b61d-1247e333ce32.jpg

Answered: want 95% confidence that your error is…

want 95% confidence that your error is no more than 0.035. The sample should include men and women. (Type whole numbers.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: One sample of scores has a mean of M = 45 and a sample size of n = 10 scores. A second sample of…

Q: Forty-three randomly selected students were asked if they take Chemistry. The test statistic for the…

A: Claim :p<0.67 Test statistics z= -1.971

Q: You would like to conduct a survey to estimate the proportion p of consumers who like a new brand of…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

A: From the provided information, Margin of error (E) = 0.06 Confidence level = 95% The Z value at 95%…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

A: Given Assuming sample proportion, p^1=p^2=0.5 as there is no prior estimate. Margin of error, E=0.06…

Q: In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens "Are you in favor…

Q: Nationally, 80 percent of adults own an thermometer. You are interested in whether the same…

A: We have given that Sample size n = 100 Sample proportion p^=75%=0.75 Population proportion…

Q: Use the p-value you found to answer the following: Does this provide evidence that the risk of…

A: Step 1: Null and Alternative Hypothesis Claim : Some people believe that an increase in the…

Q: Give the value of the test statistic. (Enter your answer rounded to two decim

A: Excel Procedure: Enter the data of No odor in column A. Enter the data of lavender in column B.…

Q: Please help answer all of them 1. Use the formula in this example to determine the sample size, n.…

A: 1) Given that Population proportion p=0.25 Margin of error =E =0.07 NOTE:- According to bartleby…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

A: Find z-critical value:…

Q: please answer in text form and in proper format answer with must explanation , calculation for each…

A: Inventory management is a crucial aspect of any business, and for Bob, a statistics textbook author…

Q: Nocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf. Each bottle should have a net…

A: The provided information is as follows:The data set is given as: SampleSample RangeSample…

Q: 1 2 3 Households 26 406 6

A: According to the data,The number of televisions (HD) per household in a small town…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

A: Computing the sample size: The confidence level is 90%. Therefore, α = 0.10 and α/2=0.05. The margin…

Q: Calcium is essential to tree growth because it promotes the formation of wood and maintains cell…

A: c) Decision Rule: If the confidence interval contains the true population mean value, then do not…

Q: The scatterplot illustrates the relationship between distance and success rate of field-goal…

A: Given,

Q: A recent study indicated that 43% of the 100 women over age 55 in the study were widows. Round up…

Q: Please answer Question E Below is a sample of 64 responses of a survey of Ward 3 residents in…

A: Given,n=64p=0.69mean(μ)=0.69standard deviation(σ)=p(1-p)nσ=0.69(1-0.69)64σ=0.0578

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

Q: Determine the test statistic, tSTAT· 1STAT = (Round to two decimal places as needed.) Find the…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: A claim is made that 85% of college students own a smartphone. Natalie believes that a larger…

A: Let p be the population proportion p=0.85, x= 135, n=150 p^=x/n

Q: Select the answer below that would represent a POPULATION. A poll of 100,000 people in the United…

A: Any data may be population or sample We can know data is population or sample : We know : Sampling…

Q: A pediatrician wants to determine the relation that may exist between a child's height and head…

A: Formula : Se =√(SSE/(n-1))

Q: the expression in the accompanying discussion of sample size to find the size of each sample if you…

Q: number of hours per week that the television is turned on is determined for each family in a sample.…

A: Given that Mean = 30 Median = 26.2

Q: Consider the following statement. The proportion of all students enrolled at a particular university…

A: Given: The data shows that the proportion of all students that were enrolled at a particular…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

A: Given: The level of confidence is 90%. Let M.E represents the margin of error. The margin of error…

Q: 1. How are the collection of all sample proportions of samples of size 172 distributed? NO 2. What…

A: Given Information: Sample size (n) = 172 studentsPopulation Proportion (p) = 0.51. The distribution…

Q: Use the data: n = 100, x = 45, 95% level of confidence Find the margin of error for estimating a…

Q: se answer the question in the photo. TY!

A: GIven:

Q: Using the data given below, determine whether it would unusual for a household to have no HD…

A: Given that probability of having No HD television in a small town is 0.020

Q: Please calculate the SD of a sample of 8 data points using the formula taught in class. The…

A: We hava given that, ΣX2 = 5012.2, n = 8, x̄ = 24.0 Then, We will find the standard deviation (SD)…

Q: The number of hours per week that the television is turned on is determined for each family in a…

A: Given information- Mean of the data = 35 hours Median = 31.2 hours Sample size = 24 families We have…

Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

Q: The data show the chest size and weight of several bears. Find the regression equation, letting…

A: For the given data Find the regression equation The best predicted weight for a bear with a chest…

Question

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 95% confidence that your error is no more than 0.035.

The sample should include

men and women.

(Type whole numbers.)

**Sample Size Calculation for Estimating Difference in Population Proportions**

To estimate the difference between two population proportions with a margin of error \( E \) and a confidence level of \( 1 - \alpha \), use the following formula:

\[
E = z_{\alpha/2} \sqrt{\frac{p_1 q_1}{n_1} + \frac{p_2 q_2}{n_2}}
\]

Where:
- \( z_{\alpha/2} \) is the z-value corresponding to the desired confidence level.
- \( p_1 \) and \( p_2 \) are the estimated proportions for each population.
- \( q_1 = 1 - p_1 \) and \( q_2 = 1 - p_2 \).
- \( n_1 \) and \( n_2 \) are the sample sizes for each population.

To simplify calculations when the sample sizes are the same (\( n_1 = n_2 = n \)), and \( p_1 \), \( q_1 \), \( p_2 \), and \( q_2 \) are unknown, assume these proportions as 0.5 for maximum variability. This simplifies the expression for \( n \):

\[
n = \frac{z_{\alpha/2}^2}{2E^2}
\]

This formula helps determine the sample size required to achieve the desired accuracy in estimating the difference between two proportions.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 9999% confidence that your error is no more than 0.040.04. LOADING... Click the icon to view the discussion of sample size. The sample should include nothing men and nothing women. (Type whole numbers.)
Find the value of so that 92.3% of the data lies to the right of it.
Please answer
Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 90% confidence that your error is no more than 0.035. A Click the icon to view the discussion of sample size. The sample should include men and women. (Type whole numbers.)
I can't understand why the data is the percentage of surveyed parents.
Q6
Solve the following and get the range and variance with the data 25,27,30,32,32,40,45,46,47,48
Typed plz and asap Please provide MW me a quality solution show all steps and calculations take Care of plagiqrism also
If A = 0.5, find the P(X = 0). Use the editor to format your answer Question 3 In a random sample of 74 people, 38 are classified as "successful" a. Determine the sample proportion, p, of successful people. b. If the population proportion is 0.80, determine he standard error of the proportion. Use the editor to format your answer
Help, please.
Given the 1st and 3rd quartiles of a data are 24 and 48, respectively, what value would be considered an outlier? A 83 B D 88 72 Can't tell.
Aspirin prevents blood from clotting and helps prevent strokes. The Second European Stroke Prevention Study asked whether adding another anticlotting drug named dipyridamole would make a difference for patients who had already had a stroke. Here are the data on strokes during the two years of the study: Aspirin alone Apsirin & Dipyridamole Number of Patients This test is two-t led. What is the test statistic? -2.700 200 = V 200 Is there a significant difference in the proportion of strokes in the two groups? Test at a = 0.05. Round your answers to three decimal places, and round any interim calculations to four decimal places. #v Fill in the hypotheses below where p₁ denotes the proportion of patients in the aspirin group who suffered a stroke and på denotes the proportion of patients in the aspirin & dipyridamole group who suffered a stroke. Ho: P₁ Ha: P₁ Number of Strokes P₂ 60 P₂ 86 Using your answer from the previous question, find the p-value. ▼ Part 2 of 4 Part 3 of 4