A poll of 2,136 randomly selected adults showed that 92​% 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 0.05 significance level to complete parts​ (a) through​ (e).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A poll of
2,136
randomly selected adults showed that
92​%
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
0.05
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
1957
2,136
0.916199
​(0.904448​,0.927949​)
−4.63
0.000
 
 
 

Question content area bottom

Part 1
a. Is the test​ two-tailed, left-tailed, or​ right-tailed?
 
​Two-tailed test
Your answer is correct.
 
Right tailed test
 
​Left-tailed test
Part 2
b. What is the test​ statistic?
 
The test statistic is
negative 3.89−3.89.
​(Round to two decimal places as​ needed.)
Part 3
c. What is the​ P-value?
 
The​ P-value is
0.0000.000.
​(Round to three decimal places as​ needed.)
Part 4
d. What is the null hypothesis and what do you conclude about​ it?
 
Identify the null hypothesis.
 
A.Upper H 0 : p equals 0.94
H0: p=0.94
Your answer is correct.
 
B.Upper H 0 : p less than 0.94
H0: p<0.94
 
C.Upper H 0 : p greater than 0.94
H0: p>0.94
 
D.Upper H 0 : p not equals 0.94
H0: p≠0.94
Part 5
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
greater than
the significance​ level,
α.
 
D.
Fail to reject
the null hypothesis because the​ P-value is
less than or equal to
the significance​ level,
α. 
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