Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or table) Ho P1 HA P1 x1 - -144 n = 248 P2 = 0.20 P2 = 0.20 x2 = 131 = 417 a. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic b. Find the p-value. O p-value < 0.01 0.01 > p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value 0.10 c. At the 5% significance level, what is the conclusion? Reject Ho; the difference between population proportions does not differ from 0.20. Do not reject Ho; the difference between population proportions differs from 0.20. Reject Ho; the difference between population proportions differs from 0.20. Do not reject Ho; the difference between population proportions does not differ from 0.20. Exercise 10-41 Algo Given p = 0.70, n = 476, P2 = 0.77, n = 390. (You may find it useful to reference the appropriate table: z table or table) a. Construct the 99% confidence interval for the difference between the population proportions. (Negative value should be indicated by a minus sign. Round final answers to 2 decimal places.) Confidence interval is to b. Is there a difference between the population proportions at the 1% significance level? Yes, since the confidence interval includes the value 0. Yes, since the confidence interval does not include the value 0. No, since the confidence interval includes the value 0. No, since the confidence interval does not include the value 0.