4. For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion, α is the level of​ significance, p is the sample​ proportion,...

For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion,

is the level of​ significance,

is the sample​ proportion, and n is the sample size. If it can be​ used, test the claim.

​Claim:


Sample​ statistics:

Let

and let

A normal sampling distribution

be used​ here, since

and

If a normal sampling distribution can be​ used, identify the hypotheses for testing the claim. Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.