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2013 study investigated employees' self-rated job performance on a scale from 0 (worst) to 10 (best). The study surveyed workers at three different companies. Response rates at each company ranged from 40% to 80%. Of the roughly 20,000 total respondents, about 75% came from one company. After accounting for several other variables, the authors found that the mean self- rated job performance by women was 0.07 points higher than the mean self-rated job performance by men. The p-value for their hypothesis test was less than 0.001. A) Is this result statistically significant at the 5% level? B) Is this result practically significant? Explain why or why not. One variable the authors accounted for was whether the employees were depressed. 2,750 respondents claimed to have been diagnosed with depression, and 17,364 claimed not to have been. Construct, but do not interpret, a 90% confidence interval for the population proportion of workers who suffer from depression. C) D) Is it a valid interpretation to claim that in 90% of workplaces, the proportion of depressed workers is in the interval you calculated in part C? E) Assume you got part C correct. What problem(s), if any, do you have with the interpretation, "We are 90% confident that the proportion of depressed workers is within that interval"? Think about the methods of both constructing the confidence interval and obtaining the data used to create it.

2013 study investigated employees' self-rated job performance on a scale from 0 (worst) to 10 (best). The study surveyed workers at three different companies. Response rates at each company ranged from 40% to 80%. Of the roughly 20,000 total respondents, about 75% came from one company. After accounting for several other variables, the authors found that the mean self- rated job performance by women was 0.07 points higher than the mean self-rated job performance by men. The p-value for their hypothesis test was less than 0.001. A) Is this result statistically significant at the 5% level? B) Is this result practically significant? Explain why or why not. One variable the authors accounted for was whether the employees were depressed. 2,750 respondents claimed to have been diagnosed with depression, and 17,364 claimed not to have been. Construct, but do not interpret, a 90% confidence interval for the population proportion of workers who suffer from depression. C) D) Is it a valid interpretation to claim that in 90% of workplaces, the proportion of depressed workers is in the interval you calculated in part C? E) Assume you got part C correct. What problem(s), if any, do you have with the interpretation, "We are 90% confident that the proportion of depressed workers is within that interval"? Think about the methods of both constructing the confidence interval and obtaining the data used to create it.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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2013 study investigated employees' self-rated job performance on a scale from 0 (worst) to 10 (best). The study surveyed workers at three different companies. Response rates at each company ranged from 40% to 80%. Of the roughly 20,000 total respondents, about 75% came from one company. After accounting for several other variables, the authors found that the mean self- rated job performance by women was 0.07 points higher than the mean self-rated job performance by men. The p-value for their hypothesis test was less than 0.001. A) Is this result statistically significant at the 5% level? B) Is this result practically significant? Explain why or why not. One variable the authors accounted for was whether the employees were depressed. 2,750 respondents claimed to have been diagnosed with depression, and 17,364 claimed not to have been. Construct, but do not interpret, a 90% confidence interval for the population proportion of workers who suffer from depression. C) D) Is it a valid interpretation to claim that in 90% of workplaces, the proportion of depressed workers is in the interval you calculated in part C? E) Assume you got part C correct. What problem(s), if any, do you have with the interpretation, "We are 90% confident that the proportion of depressed workers is within that interval"? Think about the methods of both constructing the confidence interval and obtaining the data used to create it.
Transcribed Image Text:2013 study investigated employees' self-rated job performance on a scale from 0 (worst) to 10 (best). The study surveyed workers at three different companies. Response rates at each company ranged from 40% to 80%. Of the roughly 20,000 total respondents, about 75% came from one company. After accounting for several other variables, the authors found that the mean self- rated job performance by women was 0.07 points higher than the mean self-rated job performance by men. The p-value for their hypothesis test was less than 0.001. A) Is this result statistically significant at the 5% level? B) Is this result practically significant? Explain why or why not. One variable the authors accounted for was whether the employees were depressed. 2,750 respondents claimed to have been diagnosed with depression, and 17,364 claimed not to have been. Construct, but do not interpret, a 90% confidence interval for the population proportion of workers who suffer from depression. C) D) Is it a valid interpretation to claim that in 90% of workplaces, the proportion of depressed workers is in the interval you calculated in part C? E) Assume you got part C correct. What problem(s), if any, do you have with the interpretation, "We are 90% confident that the proportion of depressed workers is within that interval"? Think about the methods of both constructing the confidence interval and obtaining the data used to create it.
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