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 the survey of 169 fatal accidents were recorded. Is there enough evidence to reject the executive’s claim at alpha = 0.025?

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Frequency 14 16 11 14 16 11 19 23 13 13 9 10

Question 1: Indicate the correct formulation of the hypotheses.

A) H0: Number of fatal accidents does not vary from month to month, HA: Number of fatal accidents does vary from month to month
B) H0: Number of fatal accidents does vary from month to month, HA: Number of fatal accidents does not vary from month to month

Question 2: Choose the correct option for the hypothesis stated in the problem.

A) All the categories are hypothesized to have equal probabilities
B) Some of the categories are hypothesized to have different probabilities
C) There is not enough information to make this decision

Question 3: Enter the expected number of observations in the cell corresponding to fatal accidents that occurred in January. Round your answer to 2 decimals.

Question 4: Enter the expected number of observations in the cell corresponding to fatal accidents that occurred in February. Round your answer to 2 decimals.

Question 5: Enter the value of the test statistic. Round your answers to 2 decimals.

Question 6: Enter the degrees of freedom associated with the test statistic for this problem.

Question 7: Enter the critical value of the test statistic. Round your answer to 3 decimals.

Question 8: Enter the p-value. Round your answer to 3 decimals.

Question 9: At the 0.025 level of significance, determine whether to fail to reject or reject the null hypothesis.

A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis
C) Accept the Alternative Hypothesis
D) There is not enough information to make this decision.

Question 10: Choose the correct response at the 0.025 level of significance.

A) There is not significant evidence to reject the executive's claim.
B) There is significant evidence to reject the executive's claim.
C)There is not enough information to make this decision.