Question

In a survey of

2437

adults in a recent​ year,

1302

say they have made a New​ Year's resolution.

Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

The​ 90% confidence interval for the population proportion p is

left parenthesis nothing comma nothing right parenthesis,.

​(Round to three decimal places as​ needed.)

The​ 95% confidence interval for the population proportion p is

left parenthesis nothing comma nothing right parenthesis,.

​(Round to three decimal places as​ needed.)

With the given​ confidence, it can be said that the

▼sample population

or population portion

sample proportion

population proportion

of adults who say they have made a New​Year's resolution is

▼not between the endpoints or

between the endpoints or less than the endpoints or greater than the endpoint (this is the drop arrows with the answers)

not between the endpoints

between the endpoints

less than the upper endpoint

greater than the lower endpoint

(this is the drop arrows with the answers)

of the given confidence interval.

Compare the widths of the confidence intervals. Choose the correct answer below.

A.

The​ 90% confidence interval is wider.

B.

The​ 95% confidence interval is wider.

C.

The confidence intervals cannot be compared.

D.

The confidence intervals are the same width. please answers all questions please.

Answer 1

The statistical software output for this problem is:

Hence,

90% confidence interval:

(0.518, 0.551)

95% confidence interval:

(0.514, 0.554)

With the given​ confidence, it can be said that the population proportion of adults who say they have made a New​Year's resolution is between the endpoints of the given confidence interval.

The​ 95% confidence interval is wider.