A poll of 2,179 randomly selected adults showed that 88% of them own cell phones. The technology display below results from a test of the claim that 90% 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=0.9 vs p≠0.9 Sample X N Sample p 95% CI Z-Value P-Value 1 1908 2,179 0.875631 (0.861775,0.889487) −3.79 0.000 a. Is the test two-tailed, left-tailed, or right-tailed? Right tailed test Left-tailed test Two-tailed test Your answer is correct. b. What is the test statistic? The test statistic is negative 3.79−3.79. (Round to two decimal places as needed.) c. What is the P-value? The P-value is 0.0020.002. (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=0.9 Your answer is correct. B. H0: p>0.9 C. H0: p<0.9 D. H0: p≠0.9
A poll of 2,179 randomly selected adults showed that 88% of them own cell phones. The technology display below results from a test of the claim that 90% 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=0.9 vs p≠0.9 Sample X N Sample p 95% CI Z-Value P-Value 1 1908 2,179 0.875631 (0.861775,0.889487) −3.79 0.000 a. Is the test two-tailed, left-tailed, or right-tailed? Right tailed test Left-tailed test Two-tailed test Your answer is correct. b. What is the test statistic? The test statistic is negative 3.79−3.79. (Round to two decimal places as needed.) c. What is the P-value? The P-value is 0.0020.002. (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=0.9 Your answer is correct. B. H0: p>0.9 C. H0: p<0.9 D. H0: p≠0.9
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
2,179
randomly selected adults showed that
88%
of them own cell phones. The technology display below results from a test of the claim that
90%
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=0.9
vs
p≠0.9
|
||||||
|
Sample
|
X
|
N
|
Sample p
|
95% CI
|
Z-Value
|
P-Value
|
|---|---|---|---|---|---|---|
|
1
|
1908
|
2,179
|
0.875631
|
(0.861775,0.889487)
|
−3.79
|
0.000
|
a. Is the test two-tailed, left-tailed, or right-tailed?
Right tailed test
Left-tailed test
Two-tailed test
b. What is the test statistic?
The test statistic is
negative 3.79−3.79.
(Round to two decimal places as needed.)
c. What is the P-value?
The P-value is
0.0020.002.
(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=0.9
H0: p>0.9
H0: p<0.9
H0: p≠0.9
Choose the correct answer below.
Fail to reject
the null hypothesis because the P-value is
greater than
the significance level,
α.
Reject
the null hypothesis because the P-value is
greater than
the significance level,
α.
Fail to reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
Reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
e. What is the final conclusion?
There
is
sufficient evidence to support the claim that
90%
of adults own a cell phone.There
is not
sufficient evidence to support the claim that
90%
of adults own a cell phone.There
is not
sufficient evidence to warrant rejection of the claim that
90%
of adults own a cell phone.There
is
sufficient evidence to warrant rejection of the claim that
90%
of adults own a cell phone.Expert Solution
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