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. A national survey found that work stress had a negative impact on the personal lives of 75% of restaurant employees. Restaurant Chain A claims

. A national survey found that work stress had a negative impact on the personal lives of 75% of restaurant employees. Restaurant Chain A claims that its workers are less likely to report a negative impact of work stress than this national average. 30 workers at a Chain A restaurant were surveyed, and 21 reported negative impacts of stress on their personal lives. Please answer the following questions about testing the claim by Chain A.

(a) What is the population addressed by the study? What size sample is used?

(b) What is the variable of interest? What model describes the distribution of this variable of interest?

(c) What is the null hypothesis? What is the alternative hypothesis?

(d) Which parameter are we interested in? What sample statistic will we use to evaluate the claim (give instructions of what to do with the sample values to construct the relevant statistic to test).

(e) Calculate the p-value for this sample statistic using an appropriate method of your choice. Explain the calculation method used and report the p-value obtained. (f) Given this p-value, what can we conclude about the original claim?

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