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≠0.26​;α=0.01​; Sample​ statistics:p=0.19​,n=200 Can the normal sampling distribution be​ used?     A. ​Yes, because pq is greater than α=0.01.   B. ​No, because nq is less than 5.   C. ​No, because np is less than 5.   D. ​Yes, because both np and nq are greater than or equal to 5.   State the null and alternative hypotheses=   Determine the critical​ value(s). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.     A. The critical​ value(s) is/are= ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)   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.     A. z= ​(Round to two decimal places as​ needed.)   B. The test cannot be performed.   What is the result of the​ test?   A. Reject H0.The data provide sufficient evidence to support the claim.   B. Fail to reject H0.The data provide sufficient evidence to support the claim.   C. Reject H0.The data do not provide sufficient evidence to support the claim.   D. Fail to reject H0.The data do not provide sufficient evidence to support the claim.   E. 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 α using the given sample statistics.
​Claim:p≠0.26​;α=0.01​;
Sample​ statistics:p=0.19​,n=200
Can the normal sampling distribution be​ used?
 
 
A.
​Yes, because pq is greater than α=0.01.
 
B.
​No, because nq is less than 5.
 
C.
​No, because np is less than 5.
 
D.
​Yes, because both np and nq are greater than or equal to 5.

 

State the null and alternative hypotheses=

 

Determine the critical​ value(s). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
 
A.
The critical​ value(s) is/are=
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
 
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.
 
 
A.
z=
​(Round to two decimal places as​ needed.)
 
B.
The test cannot be performed.

 

What is the result of the​ test?
 
A.
Reject H0.The data provide sufficient evidence to support the claim.
 
B.
Fail to reject H0.The data provide sufficient evidence to support the claim.
 
C.
Reject H0.The data do not provide sufficient evidence to support the claim.
 
D.
Fail to reject H0.The data do not provide sufficient evidence to support the claim.
 
E.
The test cannot be performed.
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