One sample proportion hypothesis test: Outcomes in : Sample(Race) Success : yes p : Proportion of successes H₀ : p = 0.05 H_A : p < 0.05 Hypothesis test results:

Variable	Count	Total	Sample Prop.	Std. Err.	Z-Stat	P-value
Sample(Race)	0	1000	0	0.0068920244	-7.2547625	<0.0001

WEIGHT IAT VARIABLE: 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.

a. State your hypotheses in symbolic form and in words.(The population of interest and the meaning of the proportion (p) in terms of the variable Race should be clear in your answer.)

b. StatCrunch uses a normal model to estimate the P-value probability. Are the normality conditions met? Show your work.

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

d. State a conclusion that answers the research question. Use a significance level of 5%. (Your answer should include the P-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).