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For a recent year the numbers of homicides that occurred each month in a particular city were The police commissioner believes that homicides occur more often during the summer when the weather is better Month Number Month Number Jan July 46 Aug 50 Sept 50 Oct 43 Nov 36 Dec 36 Feb Mar April May June JUNE 544429 b Which is the alternative hypothesis 37 31 47 41 50 Use a 0 05 significance level to test whether homicides in this city are equally likely for each of the 12 months a Which is the null hypothesis 47 OHO At least one month has a different frequency of homicides than the others OHO Homicides occur with equal frequency throughout the different months OHO At least two months have a different frequency of homicides than the others OHO Homicides occur with all different frequencies in the different months g Which is the decision and reasoning OH1 Homicides occur with all different frequencies throughout the different months OH1 Homicides occur with equal frequency throughout the different months OH1 Homicides do not occur with equal frequency throughout the different months OH1 At least two months have a different frequency of homicides than the others c What is the expected frequency for each month Round to 3 decimal places d What is the test statistic X Round to 2 decimal places e What are the degrees of freedom needed to find the p value f What is the p value Round to 4 decimal places Reject the null hypothesis There is not enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months Reject the null hypothesis There is enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months Fail to reject the null hypothesis There is not enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months

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