Question

You wish to test the following claim (H) at a significance level of a = 0.10. H:P1 = P2 H:p1 # p2 You obtain 382 successes in a sample of size 779 from the first population. You obtain 139 successes in a sample of size 250 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) Test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

Answer 1

Solutions Green, X = 382 XL-139 779 22 50 382 799 20.4903 P2 = x2 / Pa Xi+X2 -0.5063 niin 139 250 0.556 Rest hypothesis Ho: P,=P2 Ha: Pi IP2 Test Statistic Rretta Pi-P2 z = 0.4903 -0.556 PCI-P) yoct. -1.8078 0.5063(1-0.5c63) Giza te se 02 Z P-value -0.0'706] using Z-table, two tail. The p-value is less then die P-value 20.10. Decision: Reject the null Hypothesis