The article In Bronx, Hitting Home Runs Is A Breeze (USA Today, June 2, 2009) included a classification of 87 home runs hit at the

The article €œIn Bronx, Hitting Home Runs Is A Breeze€ (USA Today, June 2, 2009) included a classification of 87 home runs hit at the new Yankee Stadium according to direction that the ball was hit, resulting in the accompanying data.

a. Assuming that it is reasonable to regard this sample of 87 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.
b. Write a few sentences describing 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.

Left Left Center Right Right Center Field Direction Field Center Number of 18 10 7 18 34 Home Runs