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AutoWrecks Inc sells auto insurance AutoWrecks keeps close tabs on its customers driving records updating its rates according to the trends indicated by these records AutoWrecks records indicate that in a typical year roughly 70 of the company s customers do not commit a moving violation 10 commit exactly one moving violation 15 commit exactly two moving violations and 5 commit three or more moving violations This past year s driving records for a random sample of 100 AutoWrecks customers are summarized by the first row of numbers in the table below That row gives this year s observed frequency for each moving violation category for the sample of 100 AutoWrecks customers The second row of numbers gives the frequencies expected for a sample of 100 AutoWrecks customers if the moving violations distribution for this year is the same as the distribution for a typical year The bottom row of numbers contains the following value for each of the moving violation categories fo fB JE Part 1 Fill in the missing values in the table Round your responses for the expected frequencies to two or more Jo JB decimal places Round your Observed frequency Jo Observed frequency Expected frequency Expected frequency Expected frequency lo JE No violations 68 1 Type of test statistic a Z b t c Chi Square d F responses to three or more decimal places Exactly one violation a Yes b No 7 10 00 Degrees of freedom if applicable 0 900 2 The value of the test statistic Round your answer to at least two decimal places Exactly two violations 3 The p value Round your answer to at least three decimal places 22 Three or more violations 3 Part 2 Answer the following to summarize the test of the hypothesis that there is no difference between this year s moving violation distribution and the distribution in a typical year Use the 0 10 level of significance for the test 5 00 0 800 4 Can we reject the hypothesis that there is no difference between this year s moving violation distribution and the distribution in a typical year Total 100
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