For the recent year, the following are the numbers of homicides that occurred ea

Question

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.

Explanation / Answer

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

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