Question

An article included a classification of 89 home runs hit at a baseball stadium according to the direction that the ball was hit, resulting in the accompanying data.

Direction	Left Field	Left Center	Center	Right Center	Right Field
Number of   Home Runs	20	10	7	16	36

Assuming that it is reasonable to regard this sample of 89 home runs as representative of home runs hit at Yankee 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. Let p₁, p₂, p₃, p₄, and p₅ be the proportions of the five directions a home run could be hit.

Calculate the test statistic. (Round your answer to two decimal places.)

χ² =

What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.)

P-value =

Answer 1

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