In​ 1997, a survey of 940 households showed that 151 of them use e-mail. Use those sample results to test the claim that more than​ 15% of households use​ e-mail. Use a 0.05 significance level. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be​ conducted?   A. H0: p<0.15 H1: p=0.15   B. H0: p=0.15 H1: p≠0.15   C. H0: p>0.15 H1: p=0.15   D. H0: p≠0.15 H1: p=0.15   E. H0: p=0.15 H1: p>0.15   F. H0: p=0.15 H1: p<0.15   b. What is the test​ statistic? z= ​(Round the final answer to two decimal places as​ needed.)   c. What is the​ P-value? P-value= ​(Round to four decimal places as​ needed.)   d. What is the conclusion?   There is not sufficient evidence to support the claim that more than​ 15% of households use e-mail.   There is sufficient evidence to support the claim that more than​ 15% of households use e-mail.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In​ 1997, a survey of 940 households showed that 151
of them use e-mail. Use those sample results to test the claim that more than​ 15% of households use​ e-mail. Use a 0.05 significance level. Use this information to answer the following questions.
a. Which of the following is the hypothesis test to be​ conducted?
 
A.
H0: p<0.15
H1: p=0.15
 
B.
H0: p=0.15
H1: p≠0.15
 
C.
H0: p>0.15
H1: p=0.15
 
D.
H0: p≠0.15
H1: p=0.15
 
E.
H0: p=0.15
H1: p>0.15
 
F.
H0: p=0.15
H1: p<0.15
 
b. What is the test​ statistic?
z=
​(Round the final answer to two decimal places as​ needed.)
 
c. What is the​ P-value?
P-value=
​(Round to four decimal places as​ needed.)
 
d. What is the conclusion?
 
There is not sufficient evidence to support the claim that more than​ 15% of households use e-mail.
 
There is sufficient evidence to support the claim that more than​ 15% of households use e-mail.

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