Is there a relationship between weather and violent crime? A sociologist classified 1361 homicide events in Baltimore over several yearsas follows:

Season	Winter	Spring	Summer	Fall
Count	328	334	372	327

A. What is the null hypothesis?

1. :=0.25;=0.25;=0.25;=0.25

2. :=0.25;=0.25;=0.25;=0.25

3. :=0.24;=0.25;=0.27;=0.24

4. :=0.24;=0.25;=0.27;=0.24

B.How many homicides would be expected in each season if the null hypothesis were true?

C. What is the ² term for the category winter?

D.What is the overall 2test statistic?

E. What is the number of degrees of freedom for the 2 test statistic?

F. The P-value for the goodness of fit is 0.2578. We conclude that:

1. there is no evidence that the proportion of murders varies across the seasons.

2. there is evidence that the proportion of murders varies across the seasons.

3. there is no evidence that the proportion of murders does not vary across the seasons.

4. there is evidence that the proportion of murders does not vary across the seasons.

G. Which of the following statements is correct?

The 2test is valid because all of the observed cell counts are more than 1, and less than 20% of the cells have expected values less than 5.

The 2test is valid because we classified a large number of murders by season.

The 2test is valid because the null hypothesis has the same probability in each cell.

The 2test is valid because the data values are Normally distributed.