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: ModifyingAbove p with caretequals0.12, nequals25
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Part 1
Can the normal sampling distribution be used?
A.
Yes, because pq is greater than alphaequals0.05.
B.
Yes, because both np and nq are greater than or equal to 5.
C.
No, because nq is less than 5.
Your answer is not correct.D.
No, because np is less than 5.
This is the correct answer.
Part 2
State the null and alternative hypotheses. Choose the correct answer below.
A.
H Subscript 0: pgreater than or equals0.14
H Subscript a: pless than0.14
B.
H Subscript 0: pless than or equals0.14
H Subscript a: pgreater than0.14
C.
H Subscript 0: pequals0.14
H Subscript a: pnot equals0.14
D.
The test cannot be performed.
Your answer is correct.
Part 3
Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.