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Independent random samples of n1 = 900 and n2 = 780 observations were selected from binomial...

Independent random samples of n1 = 900 and n2 = 780 observations were selected from binomial populations 1 and 2, and x1 = 336 and x2 = 378 successes were observed.

(a) Find a 90% confidence interval for the difference (p1p2) in the two population proportions. (Round your answers to three decimal places.)

What assumptions must you make for the confidence interval to be valid? (Select all that apply.)

1. independent samples

2. random samples

3. n1 + n2 > 1,000

4. symmetrical distributions for both populations

5. nq̂ > 5 for samples from both populations

6. np̂ > 5 for samples from both populations

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