A poll of 2,039 randomly selected adults showed that 96​% of them own cell phones. The technology display below results from a test of the claim that 94​% of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a 0.01 significance level to complete parts​ (a) through​ (e).   Test of p=0.94 vs p≠0.94

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A poll of
2,039
randomly selected adults showed that
96​%
of them own cell phones. The technology display below results from a test of the claim that
94​%
of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a
0.01
significance level to complete parts​ (a) through​ (e).
 
Test of
p=0.94
vs
p≠0.94
Sample
X
N
Sample p
​95% CI
​Z-Value
​P-Value
1
1961
2,039
0.961746
​(0.950804​,0.972687​)
4.13
0.000
a. Is the test​ two-tailed, left-tailed, or​ right-tailed?
 
​Left-tailed test
 
​Two-tailed test
 
Right tailed test
b. What is the test​ statistic?
 
The test statistic is
nothing.
​(Round to two decimal places as​ needed.)
c. What is the​ P-value?
 
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
d. What is the null hypothesis and what do you conclude about​ it?
 
Identify the null hypothesis.
 
A.
H0: p≠0.94
 
B.
H0: p<0.94
 
C.
H0: p>0.94
 
D.
H0: p=0.94
Choose the correct answer below.
 
A.
Reject
the null hypothesis because the​ P-value is
greater than
the significance​ level,
α.
 
B.
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
less than or equal to
the significance​ level,
α.
 
D.
Fail to reject
the null hypothesis because the​ P-value is
greater than
the significance​ level,
α.
e. What is the final​ conclusion?
 
A. there is not sufficient evidence to warrant rejection of the claim that 94 % of adults own a cell phone
B.there is not sufficient evidence to support the claim that 94 % of adults own a cell phone
C. A. there is sufficient evidence to warrant rejection of the claim that 94% of adults own a cell phone
D. there is sufficient evidence to support the claim that 94% of adults own a call phone
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