Question

1. A city instituted an educational program that hopefully would reduce the number of violent crimes committed in the city. The program is quite expensive, so the city wants to make sure that it is worthwhile. In the past (before the educational program was tried), the city experienced 5.2 violent crimes per day, on average. A few months after trying the educational program, the city randomly sampled 60 days and found the average of 4.5 violent crimes. Assume that the standard deviation is known to be 2.7 crimes. The city wants to conduct a hypothesis test at a 5% significance level to determine if the data provide convincing evidence that the educational program is effective in reducing violent crimes in the city.

(explanation please)

(a) Check the required conditions for a hypothesis test to determine if they are satisfied.

(b) Describe, in words, what ?? would represent in this case.

(c) State the hypotheses, ??0 and ????, using the parameter ??.

(d) Using the sample data, calculate the test statistic.

(e) Using the test statistic in (d), calculate the p-value.

(f) Using the p-value in (e), determine whether the city would reject the null hypothesis OR fail to reject the null hypothesis at a 5% significance level.

(g) Write an appropriate conclusion in the context of the problem.

Answer 1