Math  /  Data & Statistics

Question2. You are interested in examining whether criminal justice majors are more likely than non-criminal justice majors to support the death penalty. You take a sample of 300 college students and ask their major and if they support use of the death penalty for murder. What statistic would you calculate to test your hypothesis? Set up Step 1 for your hypothesis testing

Studdy Solution

STEP 1

1. The sample consists of 300 college students.
2. The students are categorized into two groups: criminal justice majors and non-criminal justice majors.
3. The response variable is whether the student supports the death penalty for murder.
4. We are interested in comparing proportions between two independent groups.

STEP 2

1. Formulate the hypotheses.
2. Choose the appropriate statistical test.
3. Calculate the test statistic.
4. Determine the p-value or critical value.
5. Make a decision and interpret the results.

STEP 3

Formulate the hypotheses:
- Null Hypothesis (H0H_0): There is no difference in the proportion of support for the death penalty between criminal justice majors and non-criminal justice majors. Mathematically, p1=p2 p_1 = p_2 , where p1 p_1 is the proportion of criminal justice majors who support the death penalty, and p2 p_2 is the proportion of non-criminal justice majors who support the death penalty.
- Alternative Hypothesis (HaH_a): Criminal justice majors are more likely to support the death penalty than non-criminal justice majors. Mathematically, p1>p2 p_1 > p_2 .

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