The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of the patient's leg. A healthy ABI is 0.9 or greater. In a study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.86 with a standard deviation of 0.17. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, women with arterial disease have an unhealthy ABI? Click here to view a partial table of values of to. . . . Set up the hypotheses for the one-mean t-test. Ho: H Ha: HThe local veterinarian claims pugs weigh about 20 lbs on average. You think it may be less. To test your hypothesis, you develop hypotheses, H0: p. = 20 versus H1: p (a) If your mean sample weight is 18 pounds with a standard deviation of 3.7 pounds, compute the test statistic. t* = D (Round to two decimal places as needed.) (b) Approximate the P-value. Choose the correct range for the Pvalue below. 0 A. P-value 0.05 (c) If the researcher decides to test this hypothesis at the a = 0.05 level of signicance, will the researcher reject the null hypothesis? 0 A. The researcher will reject the null hypothesis since the Pvalue is not less than a. O B. The researcher will not reject the null hypothesis since the P-value is less than on. O C. The researcher will reject the null hypothesis since the P-value is less than a. O D. The researcher will not reject the null hypothesis since the P-value is not less than a. If the researcher decides to reject the null hypothesis, what is the probability of a Type | Error? |:| Professor Bond claims her mean test score is a 75 - but you worry it's lower than that. To test H0: p = 75 versus Ha: p 30. O B. Yes, because the sample is random. 0 c. No, because the test is two-tailed. O D. No, because n>30. (b) If i = 72.5 and s = 5.9, compute the test statistic. The test statistic is t* = D. (Round to two decimal places as needed.) (c) Approximate the P-value. Choose the correct answer below. 0 A. P-value 0.24 C. Ho: P = 0.24 H1: p #0.24 O D. Ho: p = 0.24 H1 : p 0.80 E. H0: p=0.20 F. H0: p=0.20 H1: p0.20 The test statistic is z = D. (Round to two decimal places as needed.) Consider a sample of 51 football games, where 31 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 OB. Ho: p > 0.5 H1 : p = 0.5 O C. Ho: p = 0.5 H1: p > 0.5 O D. Ho: p = 0.5 H1 : p