Question

In: Statistics and Probability

Workers and​ senior-level bosses were asked if it was seriously unethical to monitor employee​ e-mail. The...

Workers and​ senior-level bosses were asked if it was seriously unethical to monitor employee​ e-mail. The results are summarized in the table to the right. Use a 0.05 significance level to test the claim that the response is independent of whether the subject is a worker or a boss. Yes No Workers 200 200 250 250 Bosses 36 36 81 81 a. State the null and the alternative hypotheses. Choose the correct answer below. A. The null​ hypothesis: Response is independent of whether the subject is a worker or a​ senior-level boss. The alternative​ hypothesis: There is some relationship between response and whether the subject is a worker or a​ senior-level boss. Your answer is correct. B. The null​ hypothesis: There is some relationship between response and whether the subject is a worker or a​ senior-level boss. The alternative​ hypothesis: Response is independent of whether the subject is a worker or a​ senior-level boss. b. Assuming independence between the two​ variables, find the expected frequency for each cell of the table. Table of expected frequencies Yes No Workers 187.3 187.3 262.7 262.7 Bosses 48.7 48.7 68.3 68.3 ​(Round to the nearest tenth as​ needed.) c. Find the value of the chi squared χ2 test statistic. chi squared χ2 equals = nothing ​(Round to the nearest hundredth as​ needed.)

Solutions

Expert Solution

Correct answer:

A. The null​ hypothesis: Response is independent of whether the subject is a worker or a​ senior-level boss.

The alternative​ hypothesis: There is some relationship between response and whether the subject is a worker or a​ senior-level boss.

Explanation: The null hypotheses for the chi square test says that there is no association between two variables such that response are independent of whether the subject is a worker or a​ senior-level boss.

and the alternative hypotheses for the chi square test says that there is some association between two variables such that there is some relationship between response

b)

The observed values are,

Yes No Total
Workers 200 250 450
Bosses 36 81 117
Total 236 331 567

The expected values are obtained using the formula,

Expected values
Yes No Total

Workers

 450

Bosses

 117

Total

236

331

567

c)

The Chi-Square Value is obtained using the formula,

orchestra answered 1 year ago
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