The coach of the Genesee Valley Swim Team claims that the probability of a chipped tooth is the same for beginning, intermediate, and advanced swimmers. A review of last year's records showed that 13 of 400 beginning swimmers chipped a tooth, 8 of 600 intermediate swimmers chipped a tooth, and 5 of 300 advanced swimmers chipped a tooth. Do these data provide sufficient evidence to reject the coach's claim? Perform a chi-square test of homogeneity using α = 0.05. In answering, be sure to address each of the five steps in a test of hypothesis.

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The coach of the Genesee Valley Swim Team claims that the probability of a chipped tooth is
the same for beginning, intermediate, and advanced swimmers. A review of last year's records
showed that 13 of 400 beginning swimmers chipped a tooth, 8 of 600 intermediate swimmers
chipped a tooth, and 5 of 300 advanced swimmers chipped a tooth. Do these data provide
sufficient evidence to reject the coach's claim? Perform a chi-square test of homogeneity using
a = 0.05. In answering, be sure to address each of the five steps in a test of hypothesis.
Transcribed Image Text:The coach of the Genesee Valley Swim Team claims that the probability of a chipped tooth is the same for beginning, intermediate, and advanced swimmers. A review of last year's records showed that 13 of 400 beginning swimmers chipped a tooth, 8 of 600 intermediate swimmers chipped a tooth, and 5 of 300 advanced swimmers chipped a tooth. Do these data provide sufficient evidence to reject the coach's claim? Perform a chi-square test of homogeneity using a = 0.05. In answering, be sure to address each of the five steps in a test of hypothesis.
Expert Solution
Step 1: Determine the given variable

The observed counts are:
Beginning: 13
Intermediate: 8
Advanced: 5

Total chipped teeth: 26
Total swimmers: 1300

alpha equals 0.05

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