For the recent year the following are the numbers of homicid

For the recent year, the following are the numbers of homicides that occurred each month in the city. Use 0.05 significance level to test the claim that homicides in the city are equally likely for each of the 12 months. State Hypotheses: Make a table of Expected counts of crimes monthly. Demonstrate the work to compute test statistic chi^2. (You don\'t have to do a real work, just show how did you apply the formula, the result is in d) bellow) The test statistics computed in c) chi^2 = 11.468. P-value. Box your answer. Make a conclusion by using proper words.

Solution

H0: Homicides are equally likely in all the months

Ha: Homicides are different for atleast 2 months

Two tailed test

Alpha = 0.05

df = 11

Expected counts = 513/12 for each month

Chi square is calculated as (O-E)^2 /E

where O is observed and E is expected frequency

p = 0.404928. The result is not significant at p < 0.05.

Accept null hypothesis

There is statistical evidence to prove that all are equally likely

	Jan	Feb	MAR	Apr	May	June	July	Aug	Sep	Oct	Nov	Dec
Obse O	38	29	47	39	47	49	47	50	50	43	37	37	513
Expected	42.75	42.75	42.75	42.75	42.75	42.75	42.75	42.75	42.75	42.75	42.75	42.75	513
Chi square	0.527778	4.422515	0.422515	0.328947	0.422515	0.913743	0.422515	1.229532	1.229532	0.001462	0.773392	0.773392	11.46784