A poll of 2,088 randomly selected adults showed that 94​% of them own cell phones. The technology display below results from a test of the claim that 95​% of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a 0.05 significance level to complete parts​ (a) through​ (e).   Test of p=0.95 vs p≠0.95 Sample X N Sample p ​95% CI ​Z-Value ​P-Value 1 1963 2,088 0.940134 ​(0.929958​,0.950310​) −2.07 0.039   b. What is the test​ statistic? c. What is the​ P-value? d. What is the null hypothesis and what do you conclude about​ it?   Identify the null hypothesis.   Choose the correct answer below.   A. Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.   B. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.   C. Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α.   D. Reject the null hypothesis because the​ P-value is greater than the significance​ level, α.       What is the final​ conclusion?     A. There is not sufficient evidence to support the claim that 95​% of adults own a cell phone.   B. There is sufficient evidence to warrant rejection of the claim that 95​% of adults own a cell phone.   C. There is sufficient evidence to support the claim that 95​% of adults own a cell phone.   D. There is not sufficient evidence to warrant rejection of the claim that 95​% of adults own a cell phone.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A poll of
2,088
randomly selected adults showed that
94​%
of them own cell phones. The technology display below results from a test of the claim that
95​%
of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a
0.05
significance level to complete parts​ (a) through​ (e).
 
Test of
p=0.95
vs
p≠0.95
Sample
X
N
Sample p
​95% CI
​Z-Value
​P-Value
1
1963
2,088
0.940134
​(0.929958​,0.950310​)
−2.07
0.039

 

b. What is the test​ statistic?

c. What is the​ P-value?

d. What is the null hypothesis and what do you conclude about​ it?
 
Identify the null hypothesis.
 
Choose the correct answer below.
 
A.
Reject
the null hypothesis because the​ P-value is
less than or equal to
the significance​ level,
α.
 
B.
Fail to reject
the null hypothesis because the​ P-value is
less than or equal to
the significance​ level,
α.
 
C.
Fail to reject
the null hypothesis because the​ P-value is
greater than
the significance​ level,
α.
 
D.
Reject
the null hypothesis because the​ P-value is
greater than
the significance​ level,
α.
 
 
 
What is the final​ conclusion?
 
 
A.
There
is not
sufficient evidence to support the claim that
95​%
of adults own a cell phone.
 
B.
There
is
sufficient evidence to warrant rejection of the claim that
95​%
of adults own a cell phone.
 
C.
There
is
sufficient evidence to support the claim that
95​%
of adults own a cell phone.
 
D.
There
is not
sufficient evidence to warrant rejection of the claim that
95​%
of adults own a cell phone.
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