23. (4 points) The rate of hypertension 2743 3821 3783 ,4207-4168 about 9.2%. A

Question

23. (4 points) The rate of hypertension 2743 3821 3783 ,4207-4168 about 9.2%. A researcher doubts this, 0.092 vs. HA: p the a z-t (a) 0.169 (b) 0.092 (c) 0.96 (d) 0.337 (e) 0.831 in college-age population (18-24 years) is believed to be statistie e0.092 Using the information from an available random sample, she obtains this, so she carries out a test of significance with Ho: P 24. (4 poi nts) A study in Sweden compared former elite soccer players with people of the same age who had played soccer but not at the elite level. Of the 71 former elite soccer players surveyed, 10 had developed arthritis of the hip or knee by their mid-50s (p 0.1408) compared with only 9 of the 215 recreational soccer players 0.0419). Let 1 and 2 denote the elite and recreational soccer players, respectively. Construct a 95% confidence interval for pi-P2. proportions of developing arthritis of the hip or knee in two groups of soccer the difference in players by their mid-50s. (hint: keep 4 places past the decimal in your calculations) (a) (0.0138, 0.1842) (b) (-0.0132, 0.2112) (c) (0.0953, 0.1027) (d) (-0.0214,0.2194) (e) (0.0332, 0.1648) 25. (4 points) Sickle-cell anemia is a hereditary chronic blood disease that is extremely severe when an individual carries two copies of the defective gene. It is particularly common in countries plagued by malaria, a parasitic infection transmitted by mosquitoes. A study in Africa tested 543 children for the sickle-cell gene and also for malaria. In Group 1 which consisted of 136 children with the sickle-cell gene, 36 children had severe malaria infections. Group 2 consisted of 407 children without the sickle-cell gene, and 152 of them had severe malaria infections. A 99% confidence interval for p1-p2, the difference in proportions of malaria infections in children with and without the sickle-cell gene, is found to be (-0.2243, 0.0068). What is the appropriate conclusion? (a) There is sufficient evidence that the difference in means of severe malaria infections among children with the sickle-cell trait is significantly different from that in children without (b) There is sufficient evidence that the proportion of severe malaria infections is lower among (c) There is sufficient evidence that the proportion of severe malaria infections is higher among (d) There is not sufficient evidence that the proportion of severe malaria infections among children with the sickle-cell trait. children with the sickle-cell trait. children with the sickle-cell trait is different from that among children without. (e) This question cannot be answered based on a confidence interval.

Explanation / Answer

Solution

23) option (d) 0.337 (as it is a two tailed test)

p value = 2*P(z>-0.96) = 0.337

24) 95% CI = (0.1408-0.0419)+-1.96((0.1408)(0.8592)/71+(0.0419)(0.9581)/215))0.5

95% CI =( 0.0138,0.1842) option (a)

25) option (d) as the interval contains 0 so there isno difference

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