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A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup? test, the instructor

A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup? test, the instructor asked the students to identify the particular tire that went flat. If they really? didn't have a flat? tire, would they be able to identify the same? tire? A statistician asked other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a significance level to test the? statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really? didn't have a? flat? Tire Left Front 15 Right Front 6 Left Rear 11 Right Rear 9 Determine the null and alternative hypotheses. ?: The tires are selected with the same frequency. ?: At least one tire has a different frequency than the other tires. Calculate the test? statistic, . ? ?(Round to three decimal places as? needed.)

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