**Sample Size Determination for Political Polling**A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 0.5% margin of error at a 97.5% confidence level, what size of sample is needed? When finding the z-value, round it to four decimal places.**Hint:** [Video Link]**Note:** There is a rectangular box in the bottom left, presumably for users to input or calculate the required sample size.**Explanation:**To determine the sample size for a poll with specific margin of error and confidence level, you can use the sample size formula for proportions:\[ n = \left( \frac{Z^2 \cdot p \cdot (1-p)}{E^2} \right) \]Where:- \( n \) is the sample size.- \( Z \) is the z-value corresponding to the confidence level.- \( p \) is the estimated proportion of an attribute that is present in the population (use 0.5 if unknown).- \( E \) is the margin of error.For a 97.5% confidence level, find the corresponding z-value (round to four decimal places), and use the desired margin of error (0.5%) to calculate the sample size.

Name: **Sample Size Determination for Political Polling**A political candid
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: **Sample Size Determination for Political Polling**A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 0.5% margin of error at a 97.5% confidence level, what size of

It is given that margin of error (E) is 0.005 and the confidence level is 0.975.

Math

Statistics

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 0.5% margin of error at a 97.5% confidence level, what size of sample is needed? When finding the z-value, round it to four decimal places.