1. Local community leaders are concerned about the distribution of homicides in their small town. The local police department broke the city into six recognizable neighborhoods of the same size and discovered the following distribution of homicides:

Neighborhood	# of Homicides
A	14
B	9
C	17
D	3
E	7
F	10

Community leaders would like to know whether the homicides are randomly distributed across these six neighborhoods. a. Use a 5% level of significance and outline each of the steps required in a test of statistical significance. b. What can you conclude about the distribution of homicides across these six neighborhoods?

2. In the past 100 years, there have been more than 250 successful breakouts from Didsbury Prison. Mike is a researcher who has been hired by the prison governor to investigate the phenomenon. Details are available only for those breakouts that took place in the past ten yearsa total of 30. Using the records of these 30 breakouts as a sample, Mike decides to break the figures down to see whether breakouts were more common in certain wings of the prison than in others. It transpires that of the 30 breakouts, 4 have been from A-Wing, 8 from B-Wing, 15 from C-Wing, and 3 from D-Wing. a. Does Mike have enough evidence to conclude that, over the 100-year period, breakouts were more (or less) likely to occur from certain wings than from others? Use a 5% level of significance and outline each of the steps required in a test of statistical significance. b. Would your answer be any different if a 1% level of significance were used? c. Are there any problems with Mike's choice of a sample? Explain your answer