Question
perform a Chi-Square test and an ANOVA test. For each hypothesis test make sure to report the following steps: Identify the null hypothesis, Ho, and
perform aChi-Square testand anANOVAtest. For each hypothesis test make sure to report the following steps:
- Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
- Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
- Find the critical value(s) and identify the rejection region(s).
- Find the appropriate standardized test statistic. If convenient, use technology.
- Decide whether to reject or fail to reject the null hypothesis.
- 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
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