Question

Below are matched pair data consisting of customer service scores for a sample of 10 employees before and after they watched an instructional video on their company's mission statement. At a 0.1 significance level, use the sign test to test the claim that viewing the instructional video affects the employees' customer service scores. Before After 52 57 46 47 46 48 60 58 36 38 38 41 56 58 38 41 61 64 38 38 (a) What is the value of the test statistic used in this sign test? (b) What is the critical value in this sign test? (c) What is the correct conclusion of this sign test? There is not sufficient evidence to warrant rejection of the claim that the video affects customer service scores. There is not sufficient evidence to support the claim that the video affects customer service scores. There is sufficient evidence to support the claim that the video affects customer service scores. There is sufficient evidence to warrant rejection of the claim that the video affects customer service scores. Submit Question

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Answer 1

Solution: Step-1: The sign test with the null hypothesis: Ho:p = 0.50 H-p=0.50 Step-2: In 4th column, we put + if difference is positive, - if difference is negative and n/a if difference is zero. # A B Sign 1 52 57 2 46 47 3 46 48 4 60 58 5 36 38 + - - 6 38 41 7 56 58 8 38 41 9 61 64 10 38 38 n/a To perform the test, we count number of + sign and number of - sign. Number of plus sign = 1 Number of minus sign = 8 n = 1 + 8 = 9

ul = np = 9 x 0.5 = 4.5 o= npg - 19 x 0.5 x 0.5 = 2.25 = 1.5 Applying the z-test statistic, we get 1-4 8 - 4.5 2.3333 1.5 Z Ans(a) Step-3: At a = 0.1, the critical value of 20.1 = 1.6449 Ans(b) As calculated z = 2.3333 > 1.6449 So, Ho is rejected. Ans()

Option(c) is true that is there is sufficient evidence to claim that the video affect the customers services score.