Question

For the following questions, refer to the following scenario:

The local police chief started a “crimeline” program some years ago and wonders if it’s really working. The program publicizes unsolved violent crimes in the local media and offers cash rewards for information leading to arrests. The police chief wants to know: Is there a difference in the arrest rate for crimes that are publicized compared to those that are not? Results from random samples of both types of crimes are reported in the table below:

	Crimeline crimes	Non-crimeline crimes
Total number of crimes	175	208
Crimes resulting in an arrest	56	52

1. Multiple choice: Select the correct null and research hypotheses for the test implied by the police chief’s question. If more than one is correct, choose all that apply.

1. (a) H0 : μcrimeline = μnoncrimeline H1 : μcrimeline ̸= μnoncrimeline

2. (b) H0 : πcrimeline = πnoncrimeline H1 : πcrimeline ̸= πnoncrimeline

(c) H0 : μcrimeline ≤ μnoncrimeline H1 : μcrimeline > μnoncrimeline

(d) H0 : πcrimeline ≤ πnoncrimeline H1 : πcrimeline > πnoncrimeline

2. Calculate the appropriate test statistic. Round to 2 decimal places.

3. Find the critical value of z (α = .05).

4. Multiple choice: Setting your level of significance at α = .05, what is your decision about the null hypothesis?

(a) Reject the null hypothesis. (b) Accept the null hypothesis.

(c) Fail to reject the null hypothesis.

Answer 1