A researcher claims that the number of homicide crimes in California by month is uniformly distributed. To test this claim, you randomly select 1800 homicides from a recent year and record the month when each happened. The table shows the results. At α = 0.10, test the researcher’s claim.

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value and identify the rejection region, 

(c) Find the chi-square test statistic, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim.

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Month Frequency, ƒ Month Frequency, f January 135 July 164 February 112 August 161 March 141 September 168 April 132 October 162 May 141 November 148 June 168 December 168