A sociologist studies the relationship between weather and crime in a city. Specifically, she believes that dreary weather is a key factor in reducing fatal and nondeadly shootings. She collects data on the number of rainy days and the number of shootings that occurred over the past five months. A portion of the data is shown in the accompanying table.

a. Calculate the sample correlation coefficient between the number of rainy days and crime.

b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the number of rainy days and crime is negative.

c. Calculate the value of the test statistic and the p-value.

d. At the 5% significance level, what is the conclusion to the test? Does it appear that dreary weather and crime are negatively correlated?

Month	Rain	Shootings
1	7	31
2	15	46
3	10	29
4	8	38
5	22	15

Transcribed Image Text:

Month 1 2 .….. 5 Rainy 7 15 ⠀ 22 Shootings 31 46 ⠀ 15