For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p > 0.61; o = 0.06. Sample statistics: p = 0.68, n 275 Let q = 1 - p and let q = 1 - p. A normal sampling distribution V be used here, since V5 and V 5. If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Ho:p2 ,Haip< (Round to two decimal places as needed.) О В. Но: ра Haip= (Round to two decimal places as needed.) Ос. Но: р» , Ha: ps (Round to two decimal places as needed.) O D. Ho:p= (Round to two decimal places as needed.) O E. Ho:p< Ha:p2 (Round to two decimal places as needed.) OF. Ho: ps Ha:p> (Round to two decimal places as needed.) O G. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Zo = (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The rejection region is (Round to two decimal places as needed.) O C. The rejection region is z< (Round to two decimal places as needed.) O D. The rejection region is z> (Round to two decimal places as needed.) O E. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify standardized test statistic z. 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. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the correct answer below. O A. Fail to reject the null hypothesis. There is not enough evidence to support the claim. O B. Reject the null hypothesis. There is not enough evidence to support the claim. OC. Fail to reject the null hypothesis. There is enough evidence to support the claim. O D. Reject the null hypothesis. There is enough evidence to support the claim. O E. A normal sampling distribution cannot be used.

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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For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion,
α
is the level of​ significance,
p
is the sample​ proportion, and n is the sample size. If it can be​ used, test the claim.
​Claim:
p>0.61​;
α=0.06.
Sample​ statistics:
p=0.68​,
n=
For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is
the sample proportion, and n is the sample size. If it can be used, test the claim.
Claim: p > 0.61; a = 0.06. Sample statistics: p = 0.68, n = 275
Let q = 1- p and let q = 1- p. A normal sampling distribution
be used here, since
5 and
If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes
to complete your choice.
O A. Ho:p2
,Haip<
(Round to two decimal places as needed.)
О В. Но: ра
,Hại p =
(Round to two decimal places as needed.)
О с. Но: р>
Hại Ps
(Round to two decimal places as needed.)
O D. Ho:p=
H3ip =
(Round to two decimal places as needed.)
O E. Ho:p<
, Hạ:p2
(Round to two decimal places as needed.)
OF. Ho:ps
H3: p>
(Round to two decimal places as needed.)
O G. A normal sampling distribution cannot be used.
If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
O A. Z0 =
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
O B. A normal sampling distribution cannot be used.
If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer
box(es) to complete your choice.
O A. The rejection region is
<z<
(Round to two decimal places as needed.)
O B. The rejection regions are z<
and z>
(Round to two decimal places as needed.)
O C. The rejection region is z<
(Round to two decimal places as needed.)
O D. The rejection region is z>
(Round to two decimal places as needed.)
O E. A normal sampling distribution cannot be used.
If a normal sampling distribution can be used, identify standardized test statistic z. 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. A normal sampling distribution cannot be used.
If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the
correct answer below.
O A. Fail to reject the null hypothesis. There is not enough evidence to support the claim.
O B. Reject the null hypothesis. There is not enough evidence to support the claim.
OC. Fail to reject the null hypothesis. There is enough evidence to support the claim.
O D. Reject the null hypothesis. There is enough evidence to support the claim.
O E. A normal sampling distribution cannot be used.
Transcribed Image Text:For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p > 0.61; a = 0.06. Sample statistics: p = 0.68, n = 275 Let q = 1- p and let q = 1- p. A normal sampling distribution be used here, since 5 and If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Ho:p2 ,Haip< (Round to two decimal places as needed.) О В. Но: ра ,Hại p = (Round to two decimal places as needed.) О с. Но: р> Hại Ps (Round to two decimal places as needed.) O D. Ho:p= H3ip = (Round to two decimal places as needed.) O E. Ho:p< , Hạ:p2 (Round to two decimal places as needed.) OF. Ho:ps H3: p> (Round to two decimal places as needed.) O G. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Z0 = (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The rejection region is <z< (Round to two decimal places as needed.) O B. The rejection regions are z< and z> (Round to two decimal places as needed.) O C. The rejection region is z< (Round to two decimal places as needed.) O D. The rejection region is z> (Round to two decimal places as needed.) O E. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify standardized test statistic z. 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. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the correct answer below. O A. Fail to reject the null hypothesis. There is not enough evidence to support the claim. O B. Reject the null hypothesis. There is not enough evidence to support the claim. OC. Fail to reject the null hypothesis. There is enough evidence to support the claim. O D. Reject the null hypothesis. There is enough evidence to support the claim. O E. A normal sampling distribution cannot be used.
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