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.

Question 1

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

Question 2

A) All the categories are hypothesized to have equal probabilities

Question 3:

The expected number of observations in the cell corresponding to fatal accidents that occurred in January is: 169/12 = 14.08

Question 4:

The expected number of observations in the cell corresponding to fatal accidents that occurred in February is: 169/12 = 14.08

Question 5

Value of the test statistics =12.43

Question 6:

The degrees of freedom associated with the test statistic for this problem = 12 - 1 = 11

Question 7:

\alpha = 0.025

From Table,

The critical value of the test statistic = 21.920

Question 8:

By Technology,

The p-value = 0.333

Question 9:

Correct option:

B) Fail to Reject Null Hypothesis

Question 10:

Correct option:

A) There is not significant evidence to reject the executive's claim.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

cause it equals more