Question

HW8-Practice: Problem 4

Problem Value: 1 point(s). Problem Score: 29%. Attempts Remaining: Unlimited.

(1 point) In the recent report, "State of the American Workplace," Gallup.com stated that 30% of the U.S workforce is "engaged" in their work, 52% are "not engaged," and 18% are "actively disengaged." Using their survey methods, the manager of a large department store collects similar data on a random sample of the store's employees. Round all numeric answers to 4 decimal places.

Engagement	Frequency
Engaged	96
Not Engaged	98
Actively Disengaged	46
Total	240

1. Select the name of the test that should be used to assess the hypotheses:

?0H0: The proportion of engaged, not engaged, and actively disengaged workers at the store is the same as the proportions in the Gallup report.

??HA: The proportion of engaged, not engaged, and actively disengaged workers at the store is different from the proportions in the Gallup report.

A. ?2X2 goodness of fit
B. ?2X2 test of independence
C. 2-proportion Z-test

2. If the proportions at the store are the same as the proportions in the Gallup report, how many employees would the manager expect to be "actively disengaged"?

3. If the population proportions at the store are the same as the proportions in the Gallup report, what would be the expected value of the test statistic?

4. Calculate the test statistic.

5. What was the contribution to the test statistic from the "actively disengaged" employees?

6. Calculate the p-value.

7. Based on the p-value, we have:
A. little evidence
B. strong evidence
C. extremely strong evidence
D. very strong evidence
E. some evidence
that the null model is not a good fit for our observed data.

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