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 a. Assume that the samples are random and independent. Claim: P1 P2, a=0.01 Sample Statistics: x₁ =31, n₁ = 72, x2 = 29, n2 = 67 + Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. OA. Ho: P1 P2 Ha P1 P2 OB. Ho: P₁ SP2 Ha P1 P2 OC. Ho: P₁ =P2 Ha P1 P2 ● D. The conditions to use a normal sampling distribution are not met. be used because n☐☐☐ 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. • A. z= -☐ (Round to two decimal places as needed.) OB. The conditions to use a normal sampling distribution are not met. Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P= (Round to three decimal places as needed.) OB. The conditions to use a normal sampling distribution are not met. State the conclusion of the hypothesis test, if applicable. Choose the correct answer below. OA. Since P