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To test whether there is any association between two variables using Chi-Square test for independence.
1. State the appropriate set of hypothesis to test whether there is a relationship between the variables X and Y.
Ho:
Ha:
2. The number of degrees of freedom of the chi-square statistics is
3. The p-value of the test is
4. At the 5% level of significance, we conclude that the two variables are
a. related
b. not related
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As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
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Evaluate the performance of this decision.
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Determine the mean number of times the machine was used per day.
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