OPTIONS FOR H0 & H1 are below: For a recent year, the following are the numbers

Question

OPTIONS FOR H0 & H1 are below:

For a recent year, the following are the numbers of homicides that occurred each mant in a city Use a 0.05 significance level to test the claim that homicides in a city are equally likely for each of the 12 months. Is there sufficient evidence to support the police commi ssioner's clai that homicides occur more ofte the summer when the weather is better? Determine the null and altemative hypotheses. Full data set o Month Number Mon th Number July 47 31 Aug 49 March April 39 Oct. 43 47 38 June Dec

Explanation / Answer

Ho: Homcides occur with equal frequency in the different months

Ha: at least one month have different...........

test statistic X2 =8.708

p value =0.6489

option B :fail to reject Ho:

option A: there is not sufficient...

observed Expected Chi square Probability O E=total*p =(O-E)^2/E Jan 1/12 38.000 42.75 0.53 Feb 1/12 31.000 42.75 3.23 Mar 1/12 46.000 42.75 0.25 Apr 1/12 39.000 42.75 0.33 May 1/12 47.000 42.75 0.42 Jun 1/12 48.000 42.75 0.64 Jul 1/12 47.000 42.75 0.42 Aug 1/12 49.000 42.75 0.91 Sep 1/12 49.000 42.75 0.91 Oct 1/12 43.000 42.75 0.00 Nov 1/12 38.000 42.75 0.53 Dec 1/12 38.000 42.75 0.53 1 513 513 8.708

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