arasitic worm. Lymphatic filariasis is a disease caused by a parasitic worm. Complications of the disease can lead to extreme swelling and other complications. Here we consider results from a randomized experiment that compared
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1- Parasitic worm. Lymphatic filariasis is a disease caused by a parasitic worm. Complications of the disease can lead to extreme swelling and other complications. Here we consider results from a randomized experiment that compared three different drug treatment options to clear people of the this parasite, which people are working to eliminate entirely. The results for the second year of the study are given below:38
Three drugs
Two drugs
Two drugs annually
Clear at Year 2 52
31
42
Not Clear at Year 2 2
24
14
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(a) Set up hypotheses for evaluating whether there is any difference in the performance of the treatments, and also check conditions.
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(b) Statistical software was used to run a chi-square test, which output:
X2 = 23.7 df = 2 p-value = 7.2e-6Use these results to evaluate the hypotheses from part (a), and provide a conclusion in the context of the problem.
2.
Oral contraceptive use, Part II. Suppose that the study were repeated in a different inner city neigh- borhood and that out of 50 randomly sampled 18-year-old women, 6 reported that they were taking birth control pills. The researchers would like to assess the evidence that the proportion of 18-year-old women using birth control pills in this neighborhood is greater than the national average of 5%.
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(a) Can the normal approximation to the binomial distribution be used to conduct a hypothesis test of the null hypothesis that the proportion of women using birth control pills in this neighborhood is equal to 0.05? Explain your answer.
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(b) State the hypotheses for the analysis of interest and compute the p-value.
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(c) Interpret the results from part (b) in the context of the data.
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