Question

Consider the hypothesis statement to the right using a = 0.01 and the data to the right from two independent samples. a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. Ho H1 H250 H:H1-H2> 0 X = 90 x2 = 83 02 = 20 0 = 23 n = 55 n2 = 50 a) The test statistic is 1.67. (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is (are) 2.33. (Round to two decimal places as needed. Use a comma separate answers as needed.) Since the test statistic does not fall in the rejection region, do not reject Ho. There is insufficient evidence to conclude that the mean of population 1 is greater than the mean of population 2. b) The p-value is (Round to three decimal places as needed.)

Answer 1

b)

p value = P-value Approach
P-value = 0.047

p value is calculated using excel as:

= 1-NORM.DIST(1.67,0,1,TRUE)