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In: Statistics and Probability

The city council of Pine Bluffs is considering increasing the number of police in an effort...

The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information. City Police Number of Crimes City Police Number of Crimes Oxford 15 17 Holgate 17 7 Starksville 17 13 Carey 12 21 Danville 25 5 Whistler 11 19 Athens 27 7 Woodville 22 6 Click here for the Excel Data File State the decision rule for 0.05 significance level: H0: β ≥ 0 H1: β < 0 (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) The regression equation is yˆ=29.39−0.96x , the sample size is 8, and the standard error of the slope is 0.22. Use the 0.05 significance level. Can we conclude that the slope of the regression line is less than zero?

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