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Independent random samples of n1 = 800 and n2 = 640 observations were selected from binomial populations 1 and 2, and x1 = 337 and

Independent random samples of n1 = 800 and n2 = 640 observations were selected from binomial populations 1 and 2, and x1 = 337 and x2 = 374 successes were observed.

a) Find a 90% confidence interval for the difference (p1-p2) of the two population proportions. Interpret the interval.

b) What assumptions must be made for the confidence interval to be valid? Are these assumptions satisfied?

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