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

160 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?

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 8 of 10: Find the critical value of the test at the

0.025 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 0.025 level of significance.

Step 10 of 10: State the conclusion of the hypothesis test at the 0.025 level of significance.

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Fatal Accidents 23 10 10 12 19 10 14 8 7 21 16 10

Solutions

Expert Solution

null hypothesis: expected proportions for each category =1/12

alternate hypothesis: expected proportions is not same for all of the categories


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