n a survey of 2584 adults, 1484 say they have started paying bills online in the
ID: 3374835 • Letter: N
Question
n a survey of 2584 adults, 1484 say they have started paying bills online in the last year Construct a 99% confidence interval for the population proportion Interpret the results. A99% confidence interval for the population proportion is U D Round to three decimal places as needed ) Interpret your results Choose the correct answer below OA, Wth 99% coridence.kcan be said that he populatin proportion of adults who say they have started paying bis onineinthe last year is between the endpoints of the given confidence interval Wit, 99% confidence,?can be said that the sample proportion of aditswho say they have started paying bils onine ithe last year is between the endpoint of the given confidence interval B. Oc. The endpoints of the given confidence inerval show hat adults pay bils onlie 99% of the time 8 118 pen Click to select your answer(s) ple Tests ple tests and quizzes can be taken for practice or to build your shudy plan Sample tests and quizzes do not affect your grade ample Tests and QuizzesExplanation / Answer
Solution : Given that n = 2584 , x = 1484
=> population proportion p = x/n = 1484/2584 = 0.574
For 99% confidence interval , Z = 2.576
=> The 99% confidence interval for the population proportion is p +/- Z*sqrt(p*(1-p)/n)
=> 0.574 +/- 2.576*sqrt(0.574*(1 - 0.574)/2584)
=> ( 0.549 , 0.599)
=> option 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 end points of the given confidence interval
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