Independent random samples of r11 = 700 and n2 = 590 observations were selected from binomial populations 1 and 2, and x1 = 337 and x2 = 377 successes were observed. (a) Find a 90% condence interval for the difference {p1 p2) in the two population proportions. {Round your answers to three decimal places.) 41.199 |x to |n.109 |x Interpret the interval. O 90% of all differences in the two population proportions will fall within the interval. 0 There is a 10% chance that an individual difference in sample proportions will fall within the interval. Q) In repeated sampling, 90% of all intervals constmcted in this manner will enclose the true difference in population proportions. O In repeated sampling, 10% of all intervals constmcted 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. q! (b) What assumptions must you make for the condence interval to be valid? {Select all that apply.) independent samples C] n1 + n2 > 1,000 C] n4 3 5 for samples from both populations C] np :> 5 for samples from both populations C] symmetrical distributions for both populations random samples X