Question

Which of the following represents the appropriate decision rule and critical value(s), testing at an alpha level (α) of 0.05.

Answer 1

A. We will reject the null hypothesis at an alpha level of 0.05 if the calculated test statistic is more extreme than the critical values of 2.52.
B. We will reject the null hypothesis at an alpha level of 0.05 if the calculated test statistic is more extreme than the critical values of 2.33 and -2.33.
C. We will reject the null hypothesis at an alpha level of 0.05 if the calculated test statistic is more extreme than the critical values of 1.96 and -1.96.
D. We will reject the null hypothesis at an alpha level of 0.05 if the calculated test statistic is more extreme than the critical value of 2.58.
E. We will reject the null hypothesis at an alpha level of 0.05 if the calculated test statistic is more extreme than the critical values of 1.65 and -1.65. Incorrect

Answer 2

H0: µ = 87
H1: µ ≠ 87

Answer 3

new community safety education and outreach intervention is introduced in Biostats-ville, designed to lower the number of motor vehicle accidents occurring in that community. After 8 years of implementation, the average number of reported motor vehicle accidents per month (n=96) is recorded to be 85. Researchers know the general population average number of motor vehicle accidents per month from all communities of a similar size is 87 with a standard deviation of 8.5.

Your research question of interest is:

Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?