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 alpha   using the given sample statistics. ​Claim: pnot equals 0.22 ​; alpha equals0.05 ​; Sample​ statistics: ModifyingAbove p with caret equals0.21 ​, nequals 200 Can the normal sampling distribution be​ used?     A. ​No, because np is less than 5.   B. ​Yes, because both np and nq are greater than or equal to 5.   C. ​Yes, because pq is greater than alpha equals0.05 .   D. ​No, because nq is less than 5. State the null and alternative hypotheses.     A. H0​: pless than or equals 0.22 Ha​: pgreater than 0.22     B. H0​: pequals 0.22 Ha​: pnot equals 0.22     C. H0​: pgreater than or equals 0.22 Ha​: pless than 0.22     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.     A. The critical​ value(s) is/are nothing . ​(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. zequals nothing ​(Round to two decimal places as​ needed.)   B. The test cannot be performed. What is the result of the​ test?     A. Reject Upper H 0 . The data do not provide sufficient evidence to support the claim.   B. Reject Upper H 0 . The data provide sufficient evidence to support the claim.   C. Fail to reject Upper H 0 . The data do not provide sufficient evidence to support the claim.   D. Fail to reject Upper H 0 . The data 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

alpha
 
using the given sample statistics.
​Claim:
pnot equals

0.22

​;
alpha

equals0.05

​;

Sample​ statistics:

ModifyingAbove p with caret

equals0.21

​,
nequals

200

Can the normal sampling distribution be​ used?
 
 
A.
​No, because np is less than 5.
 
B.
​Yes, because both np and nq are greater than or equal to 5.
 
C.
​Yes, because pq is greater than
alpha

equals0.05

.
 
D.
​No, because nq is less than 5.
State the null and alternative hypotheses.
 
 
A.
H0​:
pless than or equals

0.22

Ha​:
pgreater than

0.22

 
 
B.
H0​:
pequals

0.22

Ha​:
pnot equals

0.22

 
 
C.
H0​:
pgreater than or equals

0.22

Ha​:
pless than

0.22

 
 
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.
 
 
A.
The critical​ value(s) is/are
nothing
.
​(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.
zequals

nothing

​(Round to two decimal places as​ needed.)
 
B.
The test cannot be performed.
What is the result of the​ test?
 
 
A.
Reject
Upper H 0
.
The data do not provide sufficient evidence to support the claim.
 
B.
Reject
Upper H 0
.
The data provide sufficient evidence to support the claim.
 
C.
Fail to reject
Upper H 0
.
The data do not provide sufficient evidence to support the claim.
 
D.
Fail to reject
Upper H 0
.
The data provide sufficient evidence to support the claim.
 
E.
The test cannot be performed.
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