Investigators want to know if those who work long hours have more trouble sleeping. In one sample of 190 British civil servants who worked more than 40 hours a week, 95 of them said they usually get less than 7 hours of sleep per night. In a second sample of 150 British civil servants who worked between 35 and 40 hours per week, 63 of them said they usually get less than 7 hours of sleep per night. The investigators believe these are represent samples of the populations. Find a 95% Confidence Interval for the difference in proportions of these two populations that get less than 7 hours of sleep per night. Then interpret the confidence interval. Be sure to check that any necessary conditions are met first. Round final answers to 3 decimal places. Verify conditions are appropriate for method: Interval: ________________________ Does the interval contain zero? __________ What does this information lead you to conclude?
Practice question #3
Investigators want to know if those who work long hours have more trouble sleeping. In one sample of 190 British civil servants who worked more than 40 hours a week, 95 of them said they usually get less than 7 hours of sleep per night. In a second sample of 150 British civil servants who worked between 35 and 40 hours per week, 63 of them said they usually get less than 7 hours of sleep per night. The investigators believe these are represent samples of the populations.
Find a 95% Confidence Interval for the difference in proportions of these two populations that get less than 7 hours of sleep per night. Then interpret the confidence interval. Be sure to check that any necessary conditions are met first. Round final answers to 3 decimal places.
Verify conditions are appropriate for method:
Interval: ________________________ Does the interval contain zero? __________ What does this information lead you to conclude?
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