In: Statistics and Probability
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.