MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
α
using the given sample statistics.Claim:
p<0.14;
α=0.01;
Sample statistics:
p=0.12,
n=25
Transcribed Image Text: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 a
using the given sample statistics.
Claim: p < 0.14; a = 0.01; Sample statistics: p = 0.12, n = 25
Can the normal sampling distribution be used?
O A. No, because np is less than 5.
O B. No, because ng is less than 5.
O C. Yes, because both np and nq are greater than or equal to 5.
O D. Yes, because pq is greater than a = 0.01.
State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: ps0.14
Hạ: p>0.14
О В. Но: р3 0.14
Hi p = 0.14
o C. Ho: p 2 0.14
H,ip<0.14
O 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.
O A. The critical value(s) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
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.
O A. z=
(Round to two decimal places as needed.)
O B. The test cannot be performed.
What is the result of the test?
O A. Reject Ho. The data provide sufficient evidence to support the claim.
O B. Fail to reject Hn. 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.
O D. Fail to reject Ho. The data provide sufficient evidence to support the claim.
O E. The test cannot be performed.
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