Question

A coach records the results of the coin toss at the beginning of each football game for a season. The results are shown where H represents heads and T represents tails The coach claimed the tosses were not random Use the runs test for α: 05 to complete parts (a) through (e). HTTTTTHHHTTHTHHT Click on the icon to view the table of critical values for the number of runs G a. Write the claim mathematically and identify Ho and H1. Choose the correct answer below ○ A. Ho . Coin tosses were not random (claim). H1 : Coin tosses were random O B. Ho Coin tosses were random (claim). H. Coin tosses were not random O C. Ho: Coin tosses were not random, H: The coin tosses were random (claim) ○ D. Ho-Coin tosses were random, H1: Coin tosses were not random (claim) b. Determine the critical values The larger critical value is (Round to two decimal places as needed.) The smaller critical value is (Round to two decimal places as needed.) c. Calculate the test statistic Round to three decimal places as needed) d. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject the null hypothesis. Fail to reject the null hypothesis. e. Interpret the decision in the context of the original claim. Choose the correct answer below o A. At the 5% significance level, there is enough evidence to support the claim that the coin tosses were not random. O B. At the 5% significance level, there is enough evidence to reject the claim that the coin tosses were random. ° C. At the 5% significance level, there is not enough evidence to reject the claim that the coin tosses were random. 0 D. At the 5% significance level, there is not enough evidence to support the claim that the con tosses were not random. Click to select your answer(s)

Answer 1