perform aChi-Square testand anANOVAtest. For each hypothesis test make sure to report the following steps:

1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
3. Find the critical value(s) and identify the rejection region(s).
4. Find the appropriate standardized test statistic. If convenient, use technology.
5. Decide whether to reject or fail to reject the null hypothesis.
6. Interpret the decision in the context of the original claim.

1. A sports researcher is interested in determining if there is a relationship between the type of sport and type of team winning (home team versus visiting team). A random sample of 526 games is selected and the results are given below. Test the claim that the type of team winning is independent of the type of sport. Use = 0.01.

Resource: The Chi-Square, Independence

Football

Basketball

Soccer

Baseball

Home team wins

39

156

25

83

Visiting team wins

31

98

19

75

2. The grade point averages of students participating in sports at a local college are to be compared. The data are listed below. Test the claim that at least one group has a different mean. Use = 0.05.

Resource: The One-Way ANOVA

Tennis

Golf

Swimming

2.6

3.2

2.5

3.5

3.1

2.1

1.8

3.3

1.9

2.1

2.7

2.5

2.8

3.0

2.5