In a survey of 3406 adults, 1456 say they have started paying bills online in th

Question

In a survey of 3406 adults, 1456 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 (, ). 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.

Explanation / Answer

here p=1456/3406=0.4275

hence std error =(p(1-p)/n)1/2 =0.0085

for 99% CI, z=2.5758

hence confidence interval =mean proportion +/- z*std error =0.406 ; 0.449

option A is correct

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