Consider a sample of 49 football games, where 33 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p>0.5 H1:p=0.5 ов. Но: р-0.5 H;:p<0.5 Ос. Но: р30.5 H,:p+0.5 O D. Ho: p=0.5 H1: p>0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O B. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OC. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O D. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.

Also identify if we reject or fail to reject H0

What is the power of a test? Select all that apply. a.The probability that a significance test will pick up on the fact that the true value is different from the null. b.The probability of incorrectly rejecting the null when it's true.  c.The probability of incorrectly failing to reject the null when it's false. d.The probability of correctly rejecting the null when the null is false.  e.The probability of avoiding a type 2 error

Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…