Question 11
$1 \mathrm{pts}$

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 your critical value?
$-2.500 / 2.500$
$-2.063 / 2.063$

Step 1 ：The problem is asking for a hypothesis test to determine if the mean homicide rate in industrialized nations is different than the international average. This is a two-tailed test because we are looking for a difference in either direction (greater or less than).

Step 2 ：The critical value is the z-score that corresponds to the desired level of statistical significance. In this case, the level of significance is 0.05.

Step 3 ：To find the critical value, we need to find the z-score that corresponds to the 0.025 in each tail (since it's a two-tailed test and we split the level of significance in half for each tail).

Step 4 ：The critical value is approximately 1.96. However, since we are conducting a two-tailed test, the critical value will be both positive and negative.

Step 5 ：Final Answer: The critical values are \(\boxed{-1.96 / 1.96}\).