A survey of adults in a certain country found the 36% believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. Assume the sample size was 200. Complete parts (a) through (f) below a. How many people in the sample felt this way? The number of people in the sample who believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy is (Round to the nearest integer as needed.) b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) O A. Yes, the sample size is large enough, since the estimated standard error is which is greater than or equal to 10. O B. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is , at least one of which is less than 10. O C. No, the sample size is not large enough, since the estimated standard error is which is less than 10. O D. Yes, the sample size is large enough, since the expected number of successes is and the expected number of failures is both of which are greater than or equal to 10. c. Find a 95% confidence interval for the proportion of adults in the country who believe that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. The 95% confidence interval is ( ). (Round to three decimal places as needed.) d. Find the width of the 95% confidence interval. The width of the 95% confidence interval is. (Round to three decimal places as needed.) e. Now assume the sample size was increased to 1800 and the percentage was still 36%. Find a 95% confidence interval and report the width of the interval. The 95% confidence interval is (O. (Round to three decimal places as needed.) The width of the 95% confidence interval is (Round to three decimal places as needed.Y
A survey of adults in a certain country found the 36% believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. Assume the sample size was 200. Complete parts (a) through (f) below a. How many people in the sample felt this way? The number of people in the sample who believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy is (Round to the nearest integer as needed.) b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) O A. Yes, the sample size is large enough, since the estimated standard error is which is greater than or equal to 10. O B. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is , at least one of which is less than 10. O C. No, the sample size is not large enough, since the estimated standard error is which is less than 10. O D. Yes, the sample size is large enough, since the expected number of successes is and the expected number of failures is both of which are greater than or equal to 10. c. Find a 95% confidence interval for the proportion of adults in the country who believe that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. The 95% confidence interval is ( ). (Round to three decimal places as needed.) d. Find the width of the 95% confidence interval. The width of the 95% confidence interval is. (Round to three decimal places as needed.) e. Now assume the sample size was increased to 1800 and the percentage was still 36%. Find a 95% confidence interval and report the width of the interval. The 95% confidence interval is (O. (Round to three decimal places as needed.) The width of the 95% confidence interval is (Round to three decimal places as needed.Y
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A survey of adults in a certain country found the 36% believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. Assume the sample size was 200. Complete parts (a) through (f) below.
a. How many people in the sample felt this way?
The number of people in the sample who believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy is
(Round to the nearest integer as needed.)
b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to the nearest integer as needed.)
O A. Yes, the sample size is large enough, since the estimated standard error is
which is greater than or equal to 10.
O B. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is
at least one of which is less than 10.
O C. No, the sample size is not large enough, since the estimated standard error
which is less than 10.
O D. Yes, the sample size is large enough, since the expected number of successes is
and the expected number of failures is
both of which are greater than or equal to 10.
c. Find a 95% confidence interval for the proportion of adults in the country who believe that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy.
The 95% confidence interval is ( ).
(Round to three decimal places as needed.)
d. Find the width of the 95% confidence interval.
The width of the 95% confidence interval is.
(Round to three decimal places as needed.)
e. Now assume the sample size was increased to 1800 and the percentage was still 36%. Find a 95% confidence interval and report the width of the interval.
The 95% confidence interval is ( ).
(Round to three decimal places as needed.)
The width of the 95% confidence interval is
(Round to three decimal places as needed.)
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