Question

In: Statistics and Probability

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 161161 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month?

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Fatal Accidents 16 11 19 11 10 13 13 10 13 16 18 11

Step 1 of 10: State the null and alternative hypothesis.

Step 2 of 10: What does the null hypothesis indicate about the proportions of fatal accidents during each month?

Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category

Step 4 of 10: Find the expected value for the number of fatal accidents that occurred in January. Round your answer to two decimal places.

Step 5 of 10: Find the expected value for the number of fatal accidents that occurred in October. Round your answer to two decimal places.

Step 6 of 10: Find the value of the test statistic. Round your answer to three decimal places

Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10: Find the critical value of the test at the 0.0050.005 level of significance. Round your answer to three decimal places.

Step 9 of 10: Make the decision to reject or fail to reject the null hypothesis at the 0.0050.005 level of significance.

Step 10 of 10: State the conclusion of the hypothesis test at the 0.0050.005 level of significance.

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