Cases of violent crimes are randomly selected and categorized by month, with the results shown in the table below (based on data from the FBI). Use a 0.01 significance level to test the claim that the rate of violent crime is the same for each month. Can you explain the result?

Conduct the hypothesis test and provide the test statistic, critical value and or P-value, and state the conclusion.

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Month Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Number 786 704 835 826 900 868 920 901 856 862 783 797