What are the values of the test statistic and P-value for their test?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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
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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