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What conditions are necessary in order to use the ztest to test the difference between two population means? Question list I E) 0 Question 1 Select all the necessary conditions below. _ A. The samples must be independent. O Quest'on 2 _ B. Each population has a normal distribution with a known standard deviation. C. The samples must be randomly selected. D. The samples are paired. O Quest'on 3 O Quest'on 4 O Quest'on 5 O Quest'on 6 O Quest'on 7 K Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test Question list the claim about the difference between two population proportions p, and p2 at the level of significance a. Assume that the samples are random and independent. Claim: P1 # P2, 0 = 0.01 O Question 1 Sample Statistics: X1 = 38, n1 =71, X2 = 37, n2 = 61 . . . O Question 2 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution be used because n, p = O Question 3 niq= ], n2p= ], and n2q =[. (Round to two decimal places as needed.) O Question 4 State the null and alternative hypotheses, if applicable. O A. Ho: P1 = P2 O Question 5 Ha: P1 * P2 OB. Ho: P1 2 P2 Ha: P1 P2 Question 7 O D. The conditions to use a normal sampling distribution are not met.Question list 0 Quest' 0 Quest' 0 Quest' 0 Quest' 0 Quest' 0 Quest' on1 on2 on3 on4 on5 on6 I? Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the level of significance or. Assume that the samples are random and independent. Claim: p1 p2, or = 0.01 Sample Statistics: x1 = 38, n1 = 71, x2 = 37, n2 = 61 Calculate the standardized test statistic for the difference p1 - p2, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. {:3 A. Z : (Round to two decimal places as needed.) {:3 B. The conditions to use a normal sampling distribution are not met. Calculate the Pvalue, if applicable. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. {:3 A. P : (Round to three decimal places as needed.) If} B. The conditions to use a normal sampling distribution are not met. O Question 4 State the conclusion of the hypothesis test, if applicable. Choose the correct answer below. O A. Since P a, fail to reject Ho. There is not enough evidence at the a = 0.01 level of significance to support the O Question 6 claim. O C. Since P> a, reject Ho. There is enough evidence at the a = 0.01 level of significance to support the claim. O D. Since P