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MAT 122 Test 2 - Page 5 of 12 Summer 2024 MAT 122 Test 2 - Page 4 of 12 Summer 2024 2. A store sells three soft drinks A, B and C. The manager of such a store claims that (d)(8 points) Complete the table below. (Round your answers to two decimal customers are equally likely to buy each soft drink. He obtained a simple random places). sample of recent customers and the results are given in the following table. Soft drink B Number of customers 47 25 43 Soft drinks E 10 -E)2 category observed frequency Expected frequency At the 10% significance level, we wish to conduct the goodness of fit test to test the manager's claim. A 47 B 25 (a) (2 points) Express the claim and its opposite in symbolic forms (Use the appropriate notation and equations). C 43 Claim: Sum 115 Opposite claim: (b) (2 points) Identify Ho and H1: . Ho: e) (2 points) Compute the value of the appropriate test statistic (Hint: you may H1: use the results from the above table) (c) (2 points) Is the test two-tailed, left-tailed, or right-tailed? Circle the correct answer . MAT 122 Test 2 - Page 6 of 12 Summer 2024 (f) (4 points) Find the critical value(s), and draw a graph which includes the test statistic, critical value(s) and critical region. (Round to two decimal places) (g) (4 points) Make a decision about Ho and state the right conclusion about the claim