IS THIS CORRECT??? YES OR NO!!

2. Say that you wish to construct a 90% confidence interval for the difference of two proportions, P1 - P2- A. What conditions must be checked in order for you to perform the calculation and be sure that it will be reasonably accurate? (8 points) . THIRD The two samples must be independently drawn and reasonably cinclom or subjects were randomly assigned to two groups . The sample sizes must be large enough so that the number of successes and the number of failures must be at least 5 . In the formula n. G., n. ( 1 - 6 . ) , nope, no (I- pa ) are all five or more. B. Assuming all conditions are met, calculate a 90% confidence interval for P1 - P2 where p1 = 0.816, P2 = 0.630, and where m(margin of error) = 0.132. (4 points) (0.816 - 0.630 ) - 0.132 (0.816 - 0.630 ) + 0.32 ( 0.054 , 0.318 ) 0. 054 L P1 - P 2 20. 318 C. A significance test is run on the difference of the two proportions, p, and P2, with hypotheses as follows: H. : P1 - P2 = 0 Ha : P1 - P2 0 Based on the 90% CI calculated in part B, what decision would you expect to make regarding the null hypothesis when testing at a = 0.10 and why? (4 points) 0. 132 / 1. 645 = 0.08024 0.0102 20. 10 hypothesis Z = (0.816 - 0. 630) / 0.08024 2 = 2.318 we reject the null because P - value = 0. 0102 the P-value is less than 0.10 . At a 0.10 significance level , we have enough evidence to conclude that the true differences in proportions ( P, - Pz ) is different From 0 or not equal to O