Question

In a survey of 3, 487 ​adults, 1,424 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results.

A​ 99% confidence interval for the population proportion is (_,_). ​(Round to three decimal places as​ needed.)

Interpret your results. Choose the correct answer below.

A. With​ 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

B. With​ 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

C. The endpoints of the given confidence interval show that adults pay bills online​ 99% of the time.

Answer 1

for 99% confidence interval z_c = 2.58

99% confidence interval is

= 0.4084 2.58*

=0.4084 0.0215

=(0.3869, 0.4299)

A 99% confidence interval for population proportion is ( 0.387, 0.430)

interpretation

A. with 99% confidence , it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of given confidence interval