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In a simple random sample of 300 elderly men, 65% were married while in an independent simple random sample of 400 elderly women, 48% were married. Determine.

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Presentation on theme: "In a simple random sample of 300 elderly men, 65% were married while in an independent simple random sample of 400 elderly women, 48% were married. Determine."— Presentation transcript:

1 In a simple random sample of 300 elderly men, 65% were married while in an independent simple random sample of 400 elderly women, 48% were married. Determine a 99% confidence interval for the difference between the percentages of elderly men and women who are married. A) 17% % B) 17% + 9.6% C) 55% + 6.7% D) 56.5% + 6.7% E) 56.5% + 9.6%

2 CONDITIONS FOR COMPARING PROPORTIONS
1. We have two SRSs from two separate populations. 2. Each population is at least 10 times as large as it’s corresponding sample 3. (n1)(p^1), (n1)(1-p^1), (n2)(p^2), and (n2)(1-p^2) are all 5 or greater

3 To study the long-term effects of preschool programs, a research foundation has followed two groups of Michigan children since early childhood. One group of 62 attended preschool as 3 and 4 year olds, while another group of 61 children from the same area and with similar backgrounds did not attend preschool. In the past ten years, 38 of the students who attended preschool have needed social services as adults. Of the children who did not attend preschool, 49 have needed social services as adults.

4 Will using a drug to lower cholesterol reduce heart attacks
Will using a drug to lower cholesterol reduce heart attacks? Middle aged men were assigned at random to one of two treatments: took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the treatment group and 84 men in the control group had heart attacks. Construct a 99% confidence interval for the difference in the proportion of men who take gemfibrozil who have heart attacks as compared with those who take a placebo.

5 In a simple random sample of 300 elderly men, 65% were married while in an independent simple random sample of 400 elderly women, 48% were married. Determine a 99% confidence interval for the difference between the percentages of elderly men and women who are married. A) 17% % B) 17% + 9.6% C) 55% + 6.7% D) 56.5% + 6.7% E) 56.5% + 9.6%


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