_{Question 1 and Question 2 use different variables.}

Race IATVariables

Question 1

The variable for this question is Crime-Equal.

Crime-Equal: Law enforcement officers should act as if members of all racial groups are equally likely to commit crimes. 1=Strongly Disagree; 2=Moderately Disagree; 3=Slightly Disagree; 4=Neither Agree Nor Disagree; 5=Slightly Agree; 6=Moderately Agree; 7=Strongly Agree

1. Which IAT data set are you working with?
2. Use StatCrunch to find the 95% confidence interval that estimates the population proportion of Race IAT participants who moderately agree that law enforcement officers should act as if members of all racial groups are equally likely to commit crimes(directions). Highlight and copy everything in your StatCrunch output window and paste it into your response. One sample proportion confidence interval: Outcomes in : Sample(Crime-Equal) Success : 6 p : Proportion of successes 95% confidence interval results:

Variable	Count	Total	Sample Prop.	Std. Err.	L. Limit	U. Limit
Sample(Crime-Equal)	78	700	0.11142857	0.01189311	0.088118504	0.13473864

1. Identify the sample proportion (^) in your StatCrunch output table. Then determine whether conditions are met for using the confidence interval to estimate the population proportion of participants in your chosen IAT. Show your work, as well as the successes and failures. (Be sure to support your answer as demonstrated in Units 6 and 7.)
2. If conditions are met, estimate the population proportion of participants in your particular IAT, and state your conclusion in context. If conditions are not met, explain what a researcher could do so that conditions are met.
3. Based on your analysis, do you think the population of participants in your chosen IAT is representative of the U.S. population? Explain.

Question 2

The variable for this question is Race.

Race: 1=American Indian/Alaska Native; 2=East Asian; 3=South Asian; 4=Native Hawaiian or other Pacific Islander; 5=Black or African American; 6=White; 7=Other or Unknown; 8=Multiracial

Question to be investigated: According to the United States Census Bureau, in 2019 approximately 13.4% of the U.S. population identified themselves as black. Is the proportion of black participants lower for your chosen IAT?

Respond to each of the following.

1. State your hypotheses in symbolic form and in words. (The population of interest and the meaning of the proportion in terms of the variable Race should be clear in your answer.)
2. StatCrunch uses a normal model to estimate the -value probability. Are the normality conditions met? Show your work, as well as the successes and failures. Show your work.
3. Use StatCrunch to conduct the hypothesis test. Copy and paste the results (the StatCrunch output window) into the textbox.

Summary statistics for Sample(Race): Group by: Sample(Race)

Sample(Race)	n
1	4
2	19
3	22
4	1
5	64
6	516
7	35
8	39

4. Give your -value and interpret its meaning as a conditional probability.

5. State a conclusion that answers the research question. Use a significance level of 5%. (Your answer should include the -value and reference the population and the appropriate variable.)

Question 3

We cannot know whether a Type 1 or Type 2 error actually occurs in a hypothesis test. But, based on the results of our hypothesis test, we should be aware of which type of error is possible and what that error means in the context of our test.

1. For the hypothesis test, you conducted in Question 2, which type of error is possible, Type 1 or Type 2? Briefly explain why.
2. In the context of your hypothesis test, interpret the type of error you identified in part a).