What are the values of the test statistic and P-value for their test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A group of researchers wondered whether vegetarians favored different seasons than non-vegetarians. The
researchers took a random sample of people and surveyed them about their favorite season and whether
or not they were vegetarian. Here are the responses and partial results of a chi-square test (expected
counts appear below observed counts):
Chi-square test: Dietary restrictions vs.
favorite season
Vegetarian
Not vegetarian
Total
Fall
78
84
8.4
75.6
Spring
55
64
6.4
57.6
Summer
15
133
148
14.8
133.2
Winter
58
64
6.4
57.6
Total
36
324
360
They want to use these results to carry out a r- test of independence. Assume that all conditions for inference were met.
What are the values of the test statistic and P-value for their test?
22 = 1.941;
0.15< P-value <0.20
x= 1.941:
P-value> 0.25](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7e7b71c-2df8-4bc9-91cc-cc3a1c8cdcd2%2F3096da01-e5c7-4603-b8ec-2f5947d3f25b%2Fw2j2u1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A group of researchers wondered whether vegetarians favored different seasons than non-vegetarians. The
researchers took a random sample of people and surveyed them about their favorite season and whether
or not they were vegetarian. Here are the responses and partial results of a chi-square test (expected
counts appear below observed counts):
Chi-square test: Dietary restrictions vs.
favorite season
Vegetarian
Not vegetarian
Total
Fall
78
84
8.4
75.6
Spring
55
64
6.4
57.6
Summer
15
133
148
14.8
133.2
Winter
58
64
6.4
57.6
Total
36
324
360
They want to use these results to carry out a r- test of independence. Assume that all conditions for inference were met.
What are the values of the test statistic and P-value for their test?
22 = 1.941;
0.15< P-value <0.20
x= 1.941:
P-value> 0.25
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