An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP). (a) Use the F test to determine the overall significance of the relationship. State the null and alternative hypotheses. H : = = 0 0 1 2 H : One or more of the parameters is not equal to zero. aH: = 0 0 0 H : 0 a 0 H : = = 0 0 1 2 H : All the parameters are not equal to zero. aH: 0 0 0 H : = 0 a 0 H : One or more of the parameters is not equal to zero. 0H: = = 0 a 1 2 Calculate the test statistic. (Round your answer to two decimal places.) t stat = Calculate the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H . There is insufficient evidence to conclude that there is a significant overall 0 relationship. Do not reject H . There is sufficient evidence to conclude that there is a significant overall 0 relationship. Reject H . There is sufficient evidence to conclude that there is a significant overall relationship. 0 Reject H . There is insufficient evidence to conclude that there is a significant overall relationship. 0 (b) Use the t test to determine the significance of SO/IP. State the null and alternative hypotheses. H : = 0 0 1 H : > 0 a 1 H : 0 0 1 H : < 0 a 1 H : 0 0 1 H : = 0 a 1 H : 0 0 1 H : > 0 a 1 H : = 0 0 1 H : 0 a 1 Find the value of the test statistic for . (Round your answer to two decimal places.) 1 t stat = Find the p-value for . (Round your answer to three decimal places.) 1 p-value = What is your conclusion at the 0.05 level of significance? Reject H . There is insufficient evidence to conclude that SO/IP is a significant factor. 0 Do not reject H . There is insufficient evidence to conclude that SO/IP is a significant factor. 0 Reject H . There is sufficient evidence to conclude that SO/IP is a significant factor. 0 Do not reject H . There is sufficient evidence to conclude that SO/IP is a significant factor. 0 Use the t test to determine the significance of HR/IP. State the null and alternative hypotheses. H : 0 0 2 H : > 0 a 2 H : 0 0 2 H : = 0 a 2 H : 0 0 2 H : < 0 a 2 H : = 0 0 2 H : 0 a 2 H : = 0 0 2 H : > 0 a 2 Find the value of the test statistic for . (Round your answer to two decimal places.) 2 t stat = Find the p-value for . (Round your answer to three decimal places.) 2 p-value = What is your conclusion at the 0.05 level of significance? Do not reject H . There is sufficient evidence to conclude that HR/IP is a significant factor. 0 Reject H . There is insufficient evidence to conclude that HR/IP is a significant factor. 0 Reject H . There is sufficient evidence to conclude that HR/IP is a significant factor. 0 Do not reject H . There is insufficient evidence to conclude that HR/IP is a significant factor. 0 Player Team W L ERA SO/IP HR/IP R/IP Verlander, DET 24 5 2.40 1.00 0.1.