Complete a-cfor c do we reject or accept the p-value due to sufficient or insufficient evidence? b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ.Select all that apply.A. Each sample is obtained independently of the other.B. Each sample is a simple random sample.C. Each sample has the same sample size.D. Each sample size is large.E. Each sample size is small relative to the size of its population.c) Test whether the mean number of runs scored in a League A park is greater than the mean number of runs scored in a League B park at the a= 0.01 level of significance.Determine the null and alternative hypotheses for this test. Let HA represent the mean number of runs scored by a League A team in a League A park and let μg represent the mean number of runs scored by a League A team in a League B park.Hoversus H₁Find to, the test statistic for this hypothesis test.to =(Round to two decimal places as needed.)Determine the P-value for this testP-value= (Round to three decimal places as needed.) In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, whenLeague 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, arandom 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.a) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below.O AB.O C.BA05101015XXX15Does there appear to be a difference in the number of runs between these situations?O D.BAB51010OA. No because the number of runs scored in a League A park is about the same as the number of runs scored in a League B park.B. No but the number of runs scored in a League A park appear to be slightly higher than the number of runs scored in a League B park.C. Yes because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League B park.OD. Yes because the number of runs scored in a League B park appear to have a higher median than the number of runs scored in a League A park.b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ.XX15X15QSample of RunsFull data setLeague A Park (with DH)6 236813764125613956325 514147 0946League B Park (without DH)1 5 54 72493264336835522 92411017912 7

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The given data values are:League A parkLeague B…