How do you do longhand

a. Calculate the standardized test statistic

b. calculate the P value.

c. Interpret the results

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 py and py at the level of significance @. Assume that the samples are random and independent. Claim: P1 # p2. @ =0.01 Sample Statistics: x1 = 34, n1 = 68, x2 = 32, ny = 78 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution can be used because n1 p= 30.74 . n q= 37.26 . nap= 35.26 , and naq= 42.74. (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. Ho : P1 = P2 Ha: P1 # P2 O B. HD: P1 2 P2 Ha: P1 P2 O D. The conditions to use a normal sampling distribution are not met. Calculate the standardized test statistic for the difference py - py. if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 2= (Round to two decimal places as needed.) O B. The conditions to use a normal sampling distribution are not met