Decide whether the normal sampling distribution can be used. If it can be used,

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 ? using the given sample statistics. Claim: p 0.11 ; ?-0.10: Sample statistics: p-0.08, n-25 Can the normal sampling distribution be used? O A. Yes, because both np and nq are greater than or equal to 5. 0 B. Yes, because pq is greater than ? = 0.10. C. No, because np is less than 5. O D. No, because nq is less than 5. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho: ps0.11 O B. Ho:p 0.11 ??. ??: p:0.11 Ha p>0.11 Hai p 0.11 Ha, p#0.11 0 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 OA. The critical value(s) is/are O 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. (Round to two decimal places as needed. Use a comma to separate answers as needed.) (Round to two decimal places as needed.) The test cannot be performed. O B. What is the result of the test? O A. Reject Ho. The data provide sufficient evidence to support the claim. B. Fail to reject Ho. The data do not provide sufficient evidence to support the claim. O C. Reject Ho. The data do not provide sufficient evidence to support the claim. ( D. Fail to reject Ho . The data provide sufficient evidence to support the claim. O E. The test cannot be performed.

Explanation / Answer

p=0.08
q=0.92
n=25
np=2,npq=1.84
pq=0.0736

np is less than 5, hence we can't use normal sampling distribution.

Option 'C' is correct.

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