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d.) Do we reject or fail to reject the null hypothesis? e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.

d.) Do we reject or fail to reject the null hypothesis? e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.

MATLAB: An Introduction with Applications
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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Transcribed Image Text:18-34 35-49 50-64 65+ Burger King 127 119 63 163 McDonald's 75 142 82 129 Wendy's 124 156 75 132
Testing for Independence The contingency table shows the results of a random sample of adults with respect to their ages and favorite fast food restaurant. At the significance level, a=0.01, test the claim that at least two of the variables are dependent. Use the Independence #1 calculator to test the hypothesis. Fill in the contingency table for row and columns based on the results. Also fill in the space for the level of significance a H 0: The variables are independent H a: At least two of the variables are dependent (claim) a.) Find the degrees of freedom, the critical value and identify the rejection region. b.) Find the chi-square test statistic c.) Is the test statistic in the rejection region? How do you know? d.) Do we reject or fail to reject the null hypothesis? e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.
Transcribed Image Text:Testing for Independence The contingency table shows the results of a random sample of adults with respect to their ages and favorite fast food restaurant. At the significance level, a=0.01, test the claim that at least two of the variables are dependent. Use the Independence #1 calculator to test the hypothesis. Fill in the contingency table for row and columns based on the results. Also fill in the space for the level of significance a H 0: The variables are independent H a: At least two of the variables are dependent (claim) a.) Find the degrees of freedom, the critical value and identify the rejection region. b.) Find the chi-square test statistic c.) Is the test statistic in the rejection region? How do you know? d.) Do we reject or fail to reject the null hypothesis? e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.
Expert Solution
Step 1

We know that 

Degree of freedom = ( row - 1 ) × ( col -1 )

And level of significance =alpha =0.01

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