A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South(4) sides), and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below. At the 1% significance level, the conclusion for the hypothesis test is ________.
A) reject the null hypothesis; we can conclude that not all mean number of crimes are equal
B) do not reject the null hypothesis; we can conclude not all mean number of crimes are equal
C) reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal
D) do not reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal

Question

A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South(4) sides), and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below.  At the 1% significance level, the conclusion for the hypothesis test is ________.
A) reject the null hypothesis; we can conclude that not all mean number of crimes are equal 
B) do not reject the null hypothesis; we can conclude not all mean number of crimes are equal 
C) reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal 
D) do not reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal

Quizplus · Accepted Answer

The null hypothesis is that the mean number of crimes per day is the same for all four areas. The alternative hypothesis is that at least one of the means is different. The F-statistic is 3.44 and the p-value is 0.028, which is less than the 1% significance level. Therefore, we reject the null hypothesis and can conclude that not all mean number of crimes are equal.

A Police Chief Wants to Determine If Crime Rates Are