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Independent random samples ofn1 = 700 and n2 = 530 observations were selected from binomial populations 1 and 2, and x1 = 338 and x2

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Independent random samples ofn1 = 700 and n2 = 530 observations were selected from binomial populations 1 and 2, and x1 = 338 and x2 = 376 successes were observed. a USE SALT (a) Find a 90% confidence interval for the difference (p1 p2) in the two population proportions. (Round your answers to three decimal places.) to Interpret the interval. 0 In repeated sampling, 10% of all intervals constructed in this manner will enclose the true difference in population proportions. 0 There is a 90% chance that an individual difference in sample proportions will fall within the interval. 0 There is a 10% chance that an individual difference in sample proportions will fall within the interval. 0 90% of all differences in the two population proportions will fall within the interval. 0 In repeated sampling, 90% of all intervals constructed in this manner will enclose the true difference in population proportions. (b) What assumptions must you make for the confidence interval to be valid? (Select all that apply.) H independent samples _. n1 + n2 > 1,000 In? > 5 for samples from both populations random samples m} > 5 for samples from both populations symmetrical distributions for both populations Are these assumptions met? 0 Yes ONo

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