1) A drug company took a simple random sample of senior citizens and found that 25 of 30 senior citizens take medicine to control their cholesterol level.
a. What is the Wilson-adjusted estimate for the proportion of the senior citizen population that takes cholesterol medication?
b. What is the standard error of this estimate?
c. What is the 95% confidence interval for the proportion of the senior citizen population that takes cholesterol medication?
d. The drug company wants to do a follow-up study and take a larger sample of senior citizens so that the standard error will be less than 1%. If we assume that the proportion of senior citizens that takes cholesterol medication in this larger sample will be about the same as in the original smaller sample, what is the required sample size of the larger sample?
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