Bob selects independent random samples from two populations and obtains the values pi 0.700 and p2 = 0.500. He constructs the 95% confidence interval for p1 – P2 and gets: | 0.200 ± 1.96(0.048) =...

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Extracted text: Bob selects independent random samples from two populations and obtains the values pi 0.700 and p2 = 0.500. He constructs the 95% confidence interval for p1 – P2 and gets: | 0.200 ± 1.96(0.048) = 0.200 ±0.094. Note that 0.048 is called the estimated standard error of ĝ1 – p2 (the ESE of the estimate). Tom wants to estimate the mean of the success rates: Pi + P2 2 (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (p1 + P2)/2 is 0.024, calculate the 95% confidence interval estimate of (p1 + p2)/2. Hint: The answer has our usual form: Pt. est. + 1.96 × ESE of the estimate.