# Decide whether

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 alpha using the given sample statistics.
​Claim: pless than0.14​; alphaequals0.05​;
Sample​ statistics: p-hat = 0.12​, n = 25
Can the normal sampling distribution be​ used?
A.
​Yes, because pq is greater than alphaequals0.05.
B.
​No, because np is less than 5.
C.
​No, because nq is less than 5.
D.
​Yes, because both np and nq are greater than or equal to 5.
State the null and alternative hypotheses. Choose the correct answer below.
A.
H0​: pequals0.14
Ha​: pnot equals0.14
B.
H0​: pless than or equals0.14
Ha​: pgreater than0.14
C.
H0​: pgreater than or equals0.14
Ha​: pless than0.14
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.)
What is the result of the​ test?
A.
Reject Upper H 0. The data do not provide sufficient evidence to support the claim.
B.
Fail to reject Upper H 0. The data do not provide sufficient evidence to support the claim.
C.
Reject Upper H 0. The data provide sufficient evidence to support the claim.
D.
Fail to reject Upper H 0. The data provide sufficient evidence to support the claim.