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<0.12; a = 0.01; Sample statistics: p= 0.08, n= 25 Can the normal sampling distribution be used? O A. No, because ng is less than 5. O B. No, because np is less than 5. O C. Yes, because pg is greater than a = 0.01. O D. Yes, because both np and ng are greater than or equal to 5. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p= 0.12 H, p#0.12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 a using the given sample statistics.
Claim: p< 0.12; a= 0.01; Sample statistics: p = 0.08, n= 25
Can the normal sampling distribution be used?
O A. No, because ng is less than 5.
O B. No, because np is less than 5.
O C. Yes, because pq is greater than a= 0.01.
O D. Yes, because both np and ng are greater than or equal to 5.
State the null and alternative hypotheses. Choose the correct answer below.
O A. H,: p= 0.12
H, p#0.12
O B. Ho: pz0.12
H p<0.12
OC. Hg: ps0.12
H p>0.12
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
I 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 H,. The data provide sufficient evidence to support the claim.
O B. Fail to reject Hn. The data provide sufficient evidence to support the claim.
O C. Reject Hn. The data do not provide sufficient evidence to support the claim.
O D. Fail to reject H,. The data do not provide sufficient evidence to support the claim.
O E. The test cannot be performed.
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< 0.12; a= 0.01; Sample statistics: p = 0.08, n= 25 Can the normal sampling distribution be used? O A. No, because ng is less than 5. O B. No, because np is less than 5. O C. Yes, because pq is greater than a= 0.01. O D. Yes, because both np and ng are greater than or equal to 5. State the null and alternative hypotheses. Choose the correct answer below. O A. H,: p= 0.12 H, p#0.12 O B. Ho: pz0.12 H p<0.12 OC. Hg: ps0.12 H p>0.12 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 I 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 H,. The data provide sufficient evidence to support the claim. O B. Fail to reject Hn. The data provide sufficient evidence to support the claim. O C. Reject Hn. The data do not provide sufficient evidence to support the claim. O D. Fail to reject H,. The data do not provide sufficient evidence to support the claim. O E. The test cannot be performed.
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