Need help with my quiz can you answer each part showing work thank you

MAT 122 Test 2 - Page 4 of 12 Summer 2024 MAT 122 2. A store sells three soft drinks A, B and C. The manager of such a store claims that Test 2 - Page S of 12 customers are equally likely to buy each soft drink. He obtained a simple random sample of recent customers and the results are given in the following table. (d)(8 points) Complete the table below. (Round your answers to two decimal places). Soft drink Number of customers 47 25 43 Soft drinks (0 - EX At the 10% significance level, we wish to conduct the goodness of fit test to test Expected frequency the manager's claim. 47 (a) (2 points) Express the claim and its opposite in symbolic forms (Use the B 25 appropriate notation and equations). 43 . Claim: Sum 115 . Opposite claim: (b) (2 points) Identify Ho and H,: Ho . HE (e) (2 points) Compute the value of the appropriate test statistic (Hint: you may 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