A poll of 2,088 randomly selected adults showed that 96​% 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 0.01 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 1997 2,088 0.956418 ​(0.944909​,0.967926​) 1.35 0.178

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A poll of
2,088
randomly selected adults showed that
96​%
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
0.01
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
1997
2,088
0.956418
​(0.944909​,0.967926​)
1.35
0.178
a. Is the test two-tailed, left-tailed, or right-tailed?
O Right tailed test
Two-tailed test
O Left-tailed test
b. What is the test statistic?
The test statistic is.
(Round to two decimal places as needed.)
c. What is the P-value?
The P-value is
(Round to three decimal places as needed.)
Transcribed Image Text:a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test Two-tailed test O Left-tailed test b. What is the test statistic? The test statistic is. (Round to two decimal places as needed.) c. What is the P-value? The P-value is (Round to three decimal places as needed.)
Identify the null hypothesis.
О А. Но: р> 0.95
О В. Но: р<0.95
О с. Но: р30.95
O D. Ho: p#0.95
Choose the correct answer below.
O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
OC. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O D. Reject the null hypothesis because the P-value is greater than the significance level, a.
e. What is the final conclusion?
O A. There is sufficient evidence to support the claim that 95% of adults own a cell phone.
Transcribed Image Text:Identify the null hypothesis. О А. Но: р> 0.95 О В. Но: р<0.95 О с. Но: р30.95 O D. Ho: p#0.95 Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? O A. There is sufficient evidence to support the claim that 95% of adults own a cell phone.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman