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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A poll of
normal distribution as an approximation to the binomial distribution, and assume a
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 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.
H0: p≠0.94
H0: p<0.94
H0: p>0.94
H0: p=0.94
Choose the correct answer below.
Reject
the null hypothesis because the P-value is
greater than
the significance level,
α.
Reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
Fail to reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
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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