A magazine is considering the launch of an online edition. Themagazine plans to go ahead only if it is convinced that more than20​% of current readers would subscribe. The magazine contacted asimple random sample of 400 current​ subscribers, and 102 of thosesurveyed expressed interest. What should the company​ do? Testappropriate hypotheses and state your conclusion.

Are the assumptions and the conditions to perform a​one-proportion z-test​ met?

Yes or No

State the null and alternative hypotheses. Choose the correctanswer below.

A. H0​: p equals=0.20.2

HA​: p not equals≠0.20.2

B. H0​:p equals=0.20.2

HA​:p less than<0.20.2

C. H0​:p equals=0.20.2

HA​: p greater than>0.20.2

D.The assumptions and conditions are not​ met, so the testcannot proceed.

Determine the​ z-test statistic. Select the correct choicebelow​ and, if​ necessary, fill in the answer box to complete yourchoice.

A. z equals=nothing

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

B. The assumptions and conditions are not​ met, so the testcannot proceed.

Find the​ P-value. Select the correct choice below​ and, if​necessary, fill in the answer box to complete your choice.

A. ​P-value equals=nothing

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

B. The assumptions and conditions are not​ met, so the testcannot proceed.