Question

Describe a scenario where a researcher could use a Goodness of Fit Test to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use? (3 points)

Describe a scenario where a researcher could use a Test for Independence to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use? (3 points)

The Goodness of Fit Test and Test for Independence both use the same formula to calculate chi-square. Why? I.e., explain the logic of the test. (3 points)

Compare the Goodness of Fit Test and the Test for Independence in terms of the number of variables and levels of those that can be compared. In what ways are they similar or different? (3 points)

Describe how the Test for Independence and correlation are similar yet different. (3 points)

Answer 1

ANSWER:

Given that,

1)
p1 -proportion of adults who still had hives 30 minutes after taking medication A
p2 -proportion of adults who still had hives 30 minutes after taking medication B

Ho: p1 = p2
Ha: p1 > p2

2)
Z-test for two proportion

3)
This is right-tailed