At a local high school, a random sample of students were selected and asked to choose their most favorite sport. The results are shown below.

	Baseball	Basketball	Football	Hockey
Boys	55	55	50	90
Girls	45	65	45	95

Suppose we peform the Chi-Square test to determine that whether there is a relationship between the most favorite sport chosen by students and their gender.

Part A State the null and alternative hypotheses. H0:0:There is ? no relationship a relationship between the most favorite sport chosen by students and their gender in the ? sample of boys and girls in the school population of all boys and girls in the school . Ha::There is ? no relationship a relationship between the most favorite sport chosen by students and their gender in the ? sample of boys and girls in the school population of all boys and girls in the school .

Part B Assume the null hypothesis is true, calculate the expected number of boys choosing (rounding the answers to 6 decimal places if possible) (1) baseball as their most favorite sport. (2) basketball as their most favorite sport. (3) football as their most favorite sport. (4) hockey as their most favorite sport.

Part C Assume the null hypothesis is true, calculate the expected number of girls choosing (rounding the answers to 6 decimal places if possible) (1) baseball as their most favorite sport. (2) basketball as their most favorite sport. (3) football as their most favorite sport. (4) hockey as their most favorite sport.

Part D Calculate the Chi-Square contribution in each cell of the following two-way table. (rounding the answers to 6 decimal places if possible)

	Baseball	Basketball	Football	Hockey
Boys
Girls

Part E Calculate the Chi-Square statistic. (rounding the answers to 6 decimal places if possible)

Part F - State the Conclusion Since the Chi-Square statistic is ? larger less than the decision point , we ? do not reject Ho do not reject Ha reject Ho reject Ha . Therefore, the sample data ? provide sufficient evidence do not provide sufficient evidence to conclude that there is a relationship between the most favorite sport chosen by students and their gender in the ? sample of boys and girls in the school population of all boys and girls in the school .