Question

View Policies Current Attempt in Progress Consider the hypothesis test HO:P1 = 2 against H 1:21 > 2. Suppose that sample sizes aren 1 - 15 and n 2 - 15 thatx 1 - 7.7 and x 2 = 5.7 and thats 12-4 and s 22 - 9. Assume that o 12 = 0 2 2 and that the data are drawn from normal distributions. Use a -0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if p 1 is 3 units greater than 2? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if p 1 is 2.8 units greater than u 2? Assume that a = 0.05. rejected. The P-value is Round your answer to three decimal places (a) The null hypothesis (e.g. 98.765) (b) The power is Round your answer to two decimal places (e.g. 98.76). (c)n 1-n2- Round your answer to the nearest integer. Statistical Tables and Charts

Answer 1

G8 E F H 1 2 3 4 s2^2= 9 4 5 6 А B D To test, n1=n2 15 Ho: pl= u2 Vs Ha: p1 > u2 Assuming ol' = 02? X1 bar= X2 bar 5.7 s1^2= S^2= 6.5 SE 2.54950976 Test Statistic: 2.14834 df=n1+n2-2= 28 tcrit= 2.04841 P value= 0.02024 <0.05 Reject the null hypothesis a) The null hypothesis is rejected. & pvalue is 0.020 The power is b=0.9797 beta= 0.97976 8 9 10 12 13 14 15