Question

Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the population proportion p at the given level of significance

alphaα

using the given sample statistics.​Claim:

pnot equals≠0.290.29​;

alphaαequals=0.010.01​;

Sample​ statistics:

ModifyingAbove p with caretpequals=0.270.27​,

nequals=100100

Can the normal sampling distribution be​ used?

A.

​No, because nq is less than 5.

B.

​No, because np is less than 5.

C.

​Yes, because both np and nq are greater than or equal to 5.

D.​Yes, because pq is greater than

alphaαequals=0.010.01.

State the null and alternative hypotheses.

A.

H0​:

pless than or equals≤0.290.29

Ha​:

pgreater than>0.290.29

B.

H0​:

pequals=0.290.29

Ha​:

pnot equals≠0.290.29

C.

H0​:

pgreater than or equals≥0.290.29

Ha​:

pless than<0.290.29

D.

The test cannot be performed.

Determine the critical​ value(s). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The critical​ value(s) is/are

nothing.

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

B.

The test cannot be performed.

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

A.

zequals=nothing

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

B.

The test cannot be performed.

What is the result of the​ test?

A.Reject

Upper H 0H0.

The data do not provide sufficient evidence to support the claim.

B.Fail to reject

Upper H 0H0.

The data do not provide sufficient evidence to support the claim.

C.Fail to reject

Upper H 0H0.

The data provide sufficient evidence to support the claim.

D.Reject

Upper H 0H0.

The data provide sufficient evidence to support the claim.

E.

The test cannot be performed.

Answer 1