League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim,andom sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below.Determine the P-value for this testP-value = (Round to three decimal places as needed.)State the appropriate conclusion. Choose the correct answer below.O A. Do not reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.OB. Reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.OC. Do not reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.OD. Reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.d) Construct a 99% confidence interval for the mean difference in the number of runs scored by League A teams in a League A park and the number of runs scored by League A teams in a League B park. Interpret the interval.Lower bound:Upper bound(Round to three decimal places as needed.)Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice.(Round to three decimal places as needed. Use ascending order)O A. We are 99% confident the difference between the mean number of runs scored in a League A park and the mean number of runs scored in a League B park is betweensufficient evidence to conclude there is a difference in the mean number of runs scored with or without the DH.OB. We are 99% confident the difference between the mean number of runs scored in a League A park and the mean number of runs scored in a League B park is betweenis sufficient evidence to conclude there is a difference in the mean number of runs scored with or without the DH.andandThe confidence interval contains zero, so there is notThe confidence interval does not contain zero, so there H doen ince toconcluto conclude tf runs sSample of Runs6 2149League A Park (with DH)3 6 87641256139567325514 14 704623League B Park (without DH)1 5 54 722 6864333553 5Full data set522412910137 29324N4- XIl score moreruns.ns scored by Le

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The formula for two sample t-test confidence interval is,Where