OA. Ho:p>0.5 H₁: p=0.5 B. Ho: p=0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p<0.5 OD. Ho: p=0.5 H₁: p > 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team B. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winnin O C. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home te D. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team wi

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

8.14 Consider a sample of 52 football​ games, where 32 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than​ one-half.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho: p > 0.5
H₁: p=0.5
OB. Ho: p=0.5
H₁: p *0.5
OC. Ho: p=0.5
H₁: p<0.5
O D. Ho: p=0.5
H₁: p>0.5
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
O A. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
OB. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
O C. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
OD. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
Transcribed Image Text:Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p > 0.5 H₁: p=0.5 OB. Ho: p=0.5 H₁: p *0.5 OC. Ho: p=0.5 H₁: p<0.5 O D. Ho: p=0.5 H₁: p>0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OB. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OD. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
Expert Solution
Step 1: Given that

Sample size n=52

Favorable cases x=32

Sample proportion p^=x/n

=32/52

=0.6153846154

=0.6154

steps

Step by step

Solved in 3 steps

Blurred answer
Similar 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