What is the proportion of elderly people (65+) who have had Eagle Flu and thus carry EFA (Eagle Flu antibody)? We are going to examine this question by randomly selecting 250 of the elderly and giving each of the selected people an EFA test. Let X equal the number of those in our sample who have a positive result for EFA. Suppose X = 94. Let phat be the sample proportion of those in our sample who had a positive result for EFA. Let p be the (unknown) true proportion of the elderly with EFA antibodies. We want to estimate p. a)Calculate an unbiased point estimate of p. b) We wish to construct a 95 % classical confidence interval for p. What is the critical value multiplier zstar? c) Create a 95% classical confidence interval for p?

A First Course in Probability (10th Edition)
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What is the proportion of elderly people (65+) who have had Eagle Flu and thus carry EFA (Eagle Flu antibody)? We are going to examine this question by randomly selecting 250 of the elderly and giving each of the selected people an EFA test. Let X equal the number of those in our sample who have a positive result for EFA. Suppose X = 94. Let phat be the sample proportion of those in our sample who had a positive result for EFA. Let p be the (unknown) true proportion of the elderly with EFA antibodies. We want to estimate p.

a)Calculate an unbiased point estimate of p.

b) We wish to construct a 95 % classical confidence interval for p. What is the critical value multiplier zstar?

c) Create a 95% classical confidence interval for p?

 
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