Problem

Question 23 1 pts Assume that the international average homicide victimization rate is 2.92 (per 100,000). In a sample of 24 industrialized nations, LaFree and Drass (2002) found that the mean homicide victimization rate was 1.49 (per 100,000 ; standard deviation $=0.44$ ). Perform a hypothesis test to determine if the mean homicide rate in industrialized nations is different than the international average. Use a 0.05 level of statistical significance. What is the alternative hypothesis? $\mathrm{H}_{1:} \mu=1.49$ $\mathrm{H}_{1:} \mu \neq 1.49$ $\mathrm{H}_{1:} \mu=2.92$ $\mathrm{H}_{1:} \mu \neq 2.92$ Question 24

Solution

Step 1 :The question is asking for the alternative hypothesis in a hypothesis test where we are comparing the mean homicide rate in industrialized nations to the international average. The null hypothesis in this case would be that the mean homicide rate in industrialized nations is equal to the international average. The alternative hypothesis is what we would believe if the null hypothesis is rejected. In this case, the alternative hypothesis would be that the mean homicide rate in industrialized nations is not equal to the international average. Therefore, the alternative hypothesis is \(\mathrm{H}_{1:} \mu \neq 2.92\).

Step 2 :Final Answer: \(\boxed{\mathrm{H}_{1:} \mu \neq 2.92}\)

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