Grossmont-Cuyamaca Community College District Statistics Discussion

Question to be investigated: According to the United States Census Bureau, in 2020 approximately 50.5% of the U.S. population were born female. Is the proportion of born female participants greater for your chosen IAT?

Respond to each of the following in your initial post.

1. State your hypotheses in symbolic form and in words. (The following should be clear in your answer: the population of interest and the meaning of the proportion p in terms of the variable Birth Gender.)

2. StatCrunch uses a normal model to estimate the P-value probability. Verify that normality conditions are met.

3. Use StatCrunch to conduct the hypothesis test. directions

Copy and paste the results (the StatCrunch output window) into the textbox.

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

5. State a conclusion that answers the research question. Use a significance level of 5%. (Be sure to state your conclusion in context. This means you should include the P-value and reference the population and the variable Birth Gender in your conclusion.) 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

6. For the hypothesis test you conducted above, which type of error is possible. Type 1 or Type 2? Briefly

explain why.