2. A highway departme te ent executive claims that the number of fatal accidents
ID: 2946948 • Letter: 2
Question
2. A highway departme te ent executive claims that the number of fatal accidents which occur in her sta not vary from month to month. The results of a study of 112 fatal accidents were recorded. Is there fatal accidents between each month? chough evidence to reject the highway department executive's claim about the distribution o Month Jan Feb Mar Apr May Juu Sep Oet Nov Dee Fatal 6 6 14 12 8 8 7 156 15 Accidents78 a) State the null and alternative hds) b) What does the null hypothesis indicate about the proportions of fatal accidents during o) Sate the null nd altermative hypothesis in terms of the expected propotions for each category d) Find the expected value for the number of fatal accidents that occurred in all months. Round your cach month? answer to two decimal places. e) Find the value of the test statistic. Round your answer to three decimal places. 0 Find the degrees of freedom associated with the test statistic for this problem. E) Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places. h) Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance. D State the conclusion of the hypothesis test at the 0.025 level of significance.Explanation / Answer
As multiple parts are posted, only the first 4 parts will be answered.
a. Null hypothesis: Number of fatal accidents does not vary from month to month.
Alternate hypothesis: Number of fatal accidents varies from month to month.
b. Null hypothesis indicates that proportion of accidents in a month stays the same for all of the months.
c. In terms of proportion of accidents per month,
Null hypothesis: Proportion of accidents per month does not vary from month to month.
Alternate hypothesis: Proportion of accidents per month varies from month to month.
d. Expected value of number of accidents per month = Total number of accidents / 12
= 112 / 12 = 9.33
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