Problem (6) A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl deote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (e) If we instead let sample 1 refer to the aspirin treatment and sample 2 the placebo treatment, explain how the point estimate of the difference and the 95% confidence interval would change. Explain how then to interpret the confidence interval. (f) In general, does a conclusion from a two-tailed sample z-test for proportions (with the significance level = a ) agree with the 100(1-a) confidence interval for p – P2 Why or why not? (You DO NOT need to do a hypotheses testing)

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Problem (6) A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an
aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people
received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received
aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death
from heart attack for those with no treatment and p2 denote the population proportion of death from
heart attack for those with aspirin treatment.
(e) If we instead let sample 1 refer to the aspirin treatment and sample 2 the placebo treatment,
explain how the point estimate of the difference and the 95% confidence interval would change.
Explain how then to interpret the confidence interval.
(f) In general, does a conclusion from a two-tailed sample z-test for proportions (with the significance
level = a
NOT need to do a hypotheses testing)
) agree with the 100(1-a) confidence interval for pi – P2 Why or why not? (You DO
Transcribed Image Text:Problem (6) A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (e) If we instead let sample 1 refer to the aspirin treatment and sample 2 the placebo treatment, explain how the point estimate of the difference and the 95% confidence interval would change. Explain how then to interpret the confidence interval. (f) In general, does a conclusion from a two-tailed sample z-test for proportions (with the significance level = a NOT need to do a hypotheses testing) ) agree with the 100(1-a) confidence interval for pi – P2 Why or why not? (You DO
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