In Exercise?, ?conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion. Police Calls? The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a recent February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies?

Solution 15BSC Step 1 By using = 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. We are testing Chi-square test (using SPSS). DataWeight casesFrequencies. Then, Descriptive Cross tabs-rows Colour column Result Statistics Chi-squareOK The Output is as shown below Calls Chi-Square 29.814a df 6 Asymp. Sig. .000 Hence, we have = 29.814 with 6 degrees of freedom and P-value = 0.000 at 1% level of significance. (The smaller P-value is, the stronger the evidence against H a0 in favor of H . 1 P-value is small like 0.01 or smaller, we may conclude that the null hypothesis H is 0 strongly rejected in favor of H1 If P-value is between 0.05 P-value 0.01, we may conclude that the null hypothesis H is reject0 in favor of H . In other cas1, i.e., P-value > 0.05, we may conclude that the null hypothesis H is accepted) 0 Since P-value is smaller we reject the null hypothesis at 1% level of significance and conclude that there is no sufficient evidence to claim that the different days of the week have the same frequencies of police calls. Here we see that on Friday (179) and Saturday (196) the number of calls are more, since on account of weekend leisure and may be drinking.