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
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 |
null hypothesis: expected proportions for each category =1/12
alternate hypothesis: expected proportions is not same for all of the categories