In: Statistics and Probability
Find the indicated confidence interval. Assume the standard
error comes from a bootstrap distribution that is approximately
normally distributed.
a) A 99% confidence interval for a proportion p if the sample has n=400 with p^=0.80, and the standard error is SE=0.02.
b) A 95% confidence interval for a difference in proportions p1-p2 if the samples have n1=50 with p^1=0.67 and n2=90 with p^2=0.57, and the standard error is SE=0.08.
c) A 95% confidence interval for a difference in means μ1-μ2 if the samples have n1=80 with x¯1=248 and s1=53and n2=120 with x¯2=227 and s2=44, and the standard error is SE=7.16.