Agroup of researchers in New York wants to test if there is any relationship between living in California and preferring warm weather to cold weather. The researchers send out an online questionnaire to 200 randomly chosen people in the US asking several questions including: "Do you live in California?" and "Do you prefer warm weather to cold weather?" The results are summarized in the table below: Prefers Warm Weather 80 Prefers Cold Weather 42 Lives in California Doesn't Live in California 35 43 Test the null hypothesis that the choices on these two questions are independent versus the alternative that they are dependent. What are the p-value and conclusion of this test if the test is performed at the alpha = 0.1 level? %3D p-value =0.0091; Fail to reject the null hypothesis p-value = 0.0039; Reject the null hypothesis p-value = 0.0039; Fail to reject the null hypothesis p-value =0.0911; Reject the null hypothesis

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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21 22 23 24 25 26 27 28
E VIEW LIST
Agroup of researchers in New York wants to test if there is any
relationship between living in California and preferring warm weather to
cold weather. The researchers send out an online questionnaire to 200
randomly chosen people in the US asking several questions including: "Do
you live in California?" and "Do you prefer warm weather to cold weather?".
The results are summarized in the table below:
Prefers Warm
Weather
80
Prefers Cold
Weather
42
Lives in California
Doesn't Live in
California
35
43
Test the null hypothesis that the choices on these two questions are
independent versus the alternative that they are dependent. What are the
p-value and conclusion of this test if the test is performed at the alpha =0.1
level?
p-value = 0.0091; Fail to reject the null hypothesis
p-value = 0.0039; Reject the null hypothesis
p-value =0.0039; Fail to reject the null hypothesis
%3D
p-value = 0.0911; Reject the null hypothesis
Transcribed Image Text:21 22 23 24 25 26 27 28 E VIEW LIST Agroup of researchers in New York wants to test if there is any relationship between living in California and preferring warm weather to cold weather. The researchers send out an online questionnaire to 200 randomly chosen people in the US asking several questions including: "Do you live in California?" and "Do you prefer warm weather to cold weather?". The results are summarized in the table below: Prefers Warm Weather 80 Prefers Cold Weather 42 Lives in California Doesn't Live in California 35 43 Test the null hypothesis that the choices on these two questions are independent versus the alternative that they are dependent. What are the p-value and conclusion of this test if the test is performed at the alpha =0.1 level? p-value = 0.0091; Fail to reject the null hypothesis p-value = 0.0039; Reject the null hypothesis p-value =0.0039; Fail to reject the null hypothesis %3D p-value = 0.0911; Reject the null hypothesis
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