Question

Use the data above examining the research question of interest: "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?"

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

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.

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.

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.

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.

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.

Answer 1

Solution :

From given information ,

This is the two tailed test .

= 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

Z_{1 - /2} = Z_0.975 = -1.96

The corrrect dicision is ,

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.