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Part 1

A survey of adults in a certain country found that

8181​%

believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was

Complete parts​ (a) through​ (f) below.

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Part 1

a. How many people in the sample felt this​ way?

The number of people in the sample that felt protecting the rights of those with unpopular views is a very important component of a strong democracy is

​(Round to the nearest integer as​ needed.)

Part 2

b. Is the sample size large enough to apply the Central Limit​ Theorem? Explain. Assume the 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.)

A.

​No, the sample size is not large​ enough, since the expected number of successes is

enter your response here

and the expected number of failures is

enter your response here​,

at least one of which is less than 10.

B.

​Yes, the sample size is large​ enough, since the expected number of successes is

729729

and the expected number of failures is

171171​,

both of which are greater than or equal to 10.

Your answer is correct.

C.

​No, the sample size is not large​ enough, since the estimated standard error is

enter your response here​,

which is less than 10.

D.

​Yes, the sample size is large​ enough, since the estimated standard error is

enter your response here​,

which is greater than or equal to 10.

Part 3

c. Find a​ 95% confidence interval for the proportion of adults in the country who believe that protecting the rights of those with unpopular views is a very important component of a strong democracy.

The​ 95% confidence interval is

​(. 519.519​,. 581.581​).

​(Round to three decimal places as​ needed.