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<0.09; a = 0.05; Sample statistics: p= 0.08, n = 25 Can the normal sampling distribution be used? O A. Yes, because pg is greater than a = 0.05. O B. Yes, because both np and nq are greater than or equal to 5. O C. No, because np is less than 5. O D. No, because ng is less than 5. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: ps0.09 Hip>0.09 O B. Họ: p20.09 Hip<0.09 Oc. Ho: p= 0.09 H,: p#0.09 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.

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<0.09; a = 0.05; Sample statistics: p= 0.08, n= 25
Can the normal sampling distribution be used?
O A. Yes, because pq is greater than a = 0.05.
O B. Yes, because both np and ng are greater than or equal to 5.
OC. No, because np is less than 5.
O D. No, because ng
less than 5.
State the null and alternative hypotheses. Choose the correct answer below.
O A. H,: ps0.09
H3: p>0.09
О В. Но: р20.09
Hip<0.09
O C. Ho: p= 0.09
Ha: p#0.09
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 do not provide sufficient evidence to support the claim.
O B. Fail to reject Ho. The data provide sufficient evidence to support the claim.
OC. Reject Ho. The data provide sufficient evidence to support the claim.
O D. Fail to reject Hn. 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<0.09; a = 0.05; Sample statistics: p= 0.08, n= 25 Can the normal sampling distribution be used? O A. Yes, because pq is greater than a = 0.05. O B. Yes, because both np and ng are greater than or equal to 5. OC. No, because np is less than 5. O D. No, because ng less than 5. State the null and alternative hypotheses. Choose the correct answer below. O A. H,: ps0.09 H3: p>0.09 О В. Но: р20.09 Hip<0.09 O C. Ho: p= 0.09 Ha: p#0.09 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 do not provide sufficient evidence to support the claim. O B. Fail to reject Ho. The data provide sufficient evidence to support the claim. OC. Reject Ho. The data provide sufficient evidence to support the claim. O D. Fail to reject Hn. The data do not provide sufficient evidence to support the claim. O E. The test cannot be performed.
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