Exam 13: Goodness-Of-Fit Tests and Contingency Analysis

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It is believed that the number of drivers who are ticketed for speeding on a particular stretch of highway is a Poisson distribution with a mean of 3.5 per hour. A random sample of 100 hours is selected with the following results: It is believed that the number of drivers who are ticketed for speeding on a particular stretch of highway is a Poisson distribution with a mean of 3.5 per hour. A random sample of 100 hours is selected with the following results:   Given this information, it can be seen that the cells will need to be combined since the actual number of occurrences at some levels of x is less than 5. Given this information, it can be seen that the cells will need to be combined since the actual number of occurrences at some levels of x is less than 5.

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The degrees of freedom for the chi-square goodness-of-fit test are equal to ________, where k is the number of categories.

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When the expected cell frequencies are smaller than 5, the cells should be combined in a meaningful way such that the expected cell frequencies do exceed 5.

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In a contingency analysis the expected values are based on the assumption that the two variables are independent of each other.

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Unlike the case of goodness-of-fit testing, with contingency analysis there is no restriction on the minimum size for an expected cell frequency.

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