Question

A poll showed that 58​% of randomly surveyed adults in a certain country said their country benefits from having a rich class. Complete parts​ (a) through​ (h) below.

a. Assuming the sample size was 600, Answer_____ people in the sample would have said that their country benefits from having a rich class.Round to the nearest integer as​ needed.)

b. Is the sample size large enough to apply the Central Limit​ Theorem? Explain. Assume the other conditions for using the CLT 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.)

B.​Yes, the sample size is large​ enough, since the expected number of successes is Answer ____ and the expected number of failures is Answer ____, both of which are greater than or equal to 10.

c. Find a​ 95% confidence interval for the percent that believe that their country benefits from having a rich​ class, using the numbers from part​ (a).

The​ 95% confidence interval is Answer______% ​(Round to one decimal place as​ needed.)

d. Find the width of the interval you found in part​ (c) by subtracting the lower boundary from the upper boundary.

The width of the interval is Answer _____. ​(Round to one decimal place as​ needed.)

e. Now assuming the sample size was multiplied by 99 ​(n=2700​) and the percentage was still 58​%,how many would have said their country benefits from having a rich​ class?

Assuming the sample size was Answer ____, ___ would have said they were thriving. ​(Round to the nearest integer as​ needed.)

f. Find a​ 95% confidence​ interval, using the numbers from part​ (e).The​ 95% confidence interval is Answer (___, ____).. ​(Round to one decimal place as​ needed.)

g. What is the width of the interval you found in part​ (f) The width of the interval is Answer ____%.​(Round to one decimal place as​ needed.)

h. When the sample size is multiplied by 9 is the width of the interval divided by 9​? If​ not, what is it divided​ by? .

No, when the sample size is multiplied by 9, the width of the interval is divided b Answer ___ the nearest integer as​ needed.)

Answer 1