Consider the following sample information randomly selected from two populations. Sample 1 Sample 2 n1 = 200 n2 = 50 x1 = 30 x2 = 30 a. Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 99% condence interval for the difference between the two population proportions. a. Are the sample sizes sufciently large? 0 Yes, because up and n(1 - p) are greater than or equal to 5 for both samples. 0 No, because I15 and n(1 - p) are greater than or equal to 5 for both samples. 0 No, because np and n(1 - p) are less than 5 for both samples. 0 Yes, because hp and n(1 - p) are less than 5 for both samples. b. Calculate a 99% condence interval for the difference between the two population proportions. 5(p1'P2)5 :| (Round to three decimal places as needed.)