An article included a classification of 18 home runs hit at a certain baseball stadium according to the direction that t

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An Article Included A Classification Of 18 Home Runs Hit At A Certain Baseball Stadium According To The Direction That T 1 (235.79 KiB) Viewed 28 times

An article included a classification of 18 home runs hit at a certain baseball stadium according to the direction that the ball was hit, resulting in the accompanying cata. Direction Left Left Field Center Center Right Right Center Field Number of Home Runs 19 10 ? 17 35 1 USE SALT (a) Assume that it is reasonable to regard this sample of 88 home runs as representative of home runs hit at the stadium. Carry out a hypothesis test to determine if there is convincing evidence that the proportions of home runs hit are not the same for alltive directions Let P, PP, P and be the proportions of home runs hit in the five directions State the appropriate null and alternative hypotheses. MO: P.-P, P, PA=P = 0.5 Ho Ho is not true. None of the proportions are equal to 0.5. ROP-P-P-P-P-0.5 4 is not true. At least one of the proportions is not equal to 0.5. Hoi - 22 - Dy - P4--0.2 He is not true. At least one of the proportions is not equal to 4.2. Toi - - - P - P - 1,2 1, is not true. None of the proportions are equal to 0.2. He: None of the proportions are equal to 0.5. 4, is not true. P.-P2 - P3 - P4 - -0.5 Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) x2 P-value = - Slate the condusion in the problemi context. Reject. There is not convincing evidence to conclude that the proportions of home runs hit are not the same for all five directions. Do not reject Ho. There is not convirong evidence to condude that the proportions of home runs hit are not the same for all five directions. Reject. There is convincing evidence to conclude that the proportions of home runs hit are not the same for all five directors. Do not rejedt Ho. There is convincing evidence to conclude that the proportions of home runs hit are not the same for all live directions (b) Describe how the observed counts for the five directions differ from what would have been expected if the proportions of home runs were the same for all five directions For home runs going to left center and center field, the abserved counts are sgnificantly lower than the numbers that would have been expected if the proportions of home runs hit were the same for all five directions, while for right field, the abserved count is much higher than the number that would have been expected For home runs going to left center and center field, the observed counts are significantly higher than the numbers that would have been expected if the proportions of home runs hit were the same for all five directors, while for right field, the observed count is much lower than the number that would have been expected. For home runs going to left center and center field, the observed courts are significardy lower than the numbers that would have been expected if the proportions of home runs hit were the same for all five directions, while for right ſeld the observed count is also much lower than the number that would have been expected. For home runs going to left center and center field, the observed courts are significantly higher than the numbers that would have been expected if the proportions of home runs hit were the same for all five directions, while for right field, the observed count is also much higher than the number that would have been expected.