An article included a classification of 92 home runs hit at a baseball stadium according to the direction that the ball

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An Article Included A Classification Of 92 Home Runs Hit At A Baseball Stadium According To The Direction That The Ball 1 (166.48 KiB) Viewed 18 times

An article included a classification of 92 home runs hit at a baseball stadium according to the direction that the ball was hit, resulting in the accompanying data. Direction Number of Home Runs Left Field 17 USE SALT Left Center 10 Center 7 Right Right Center Field 20 38 (a) Assume that it is reasonable to regard this sample of 92 home runs as representative of home runs hit at the baseball stadium. Carry out a hypothesis test to determine if there is convincing evidence that the proportion of home runs hit is not the same for all five directions. Calculate the test statistic. (Round your answer to two decimal places.) x² = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence to conclude that the proportion of home runs hit is not the same for all five directions. O Fail to reject Ho. There is not enough evidence to conclude that the proportion of home runs hit is not the same for all five directions. O Fail to reject Ho. There is convincing evidence to conclude that the proportion of home runs hit is not the same for all five directions. O Reject Ho. There is not enough evidence to conclude that the proportion of home runs hit is not the same for all five directions. (b) Describe how the observed counts for the five directions differ from what would have been expected if the proportion of home runs is the same for all five directions. O For home runs going to left center and center field the observed counts are significantly lower than the numbers that would have been expected if the proportion of home runs hit was the same for all five directions, in addition for right field the observed count is also much lower than the number that would have been expected. O For home runs going to left center and center field the observed counts are significantly lower than the numbers that would have been expected if the proportion of home runs hit was the same for all five directions, while for right field the observed count is much higher than the number that would have been expected. O 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 proportion of home runs hit was the same for all five directions, in addition for right field the observed count is also much higher than the number that would have been expected. O 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 proportion of home runs hit was the same for all five directions, while for right field the observed count is much lower than the number that would have been expected.