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  1. AP Statistics
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Chi–Squares

Question 1
StatisticsAPConcept Practice
1 mark

A researcher wants to investigate if the distribution of M&M colors in a bag matches the distribution claimed by the manufacturer. Which type of chi-square test is most appropriate for this scenario?

Question 2
StatisticsAPConcept Practice
1 mark

A researcher wants to compare the distribution of political affiliations (Democrat, Republican, Independent) among three different age groups. Which chi-square test is most appropriate?

Question 3
StatisticsAPConcept Practice
1 mark

In a chi-square test, you have a two-way table with expected counts. Which of the following scenarios would violate the conditions for a valid test?

Question 4
StatisticsAPConcept Practice
1 mark

A chi-square test yields a p-value of 0.03. Using a significance level of α=0.05\alpha = 0.05α=0.05, what conclusion can be drawn?

Question 5
StatisticsAPConcept Practice
1 mark

In a study examining the relationship between exercise habits and weight management, a chi-square test yields a p-value of 0.12. Interpret this result in the context of the research question.

Question 6
StatisticsAPConcept Practice
1 mark

What are the necessary conditions that must be met before conducting a chi-square test?

Question 7
StatisticsAPConcept Practice
1 mark

A researcher is performing a chi-square test and finds that several of the expected counts are less than 5. What impact could this have on the validity of the test, and what are some potential remedies?

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Question 8
StatisticsAPConcept Practice
1 mark

A researcher is investigating whether there is a relationship between gender and preference for a particular brand of coffee. What is the null hypothesis for a chi-square test of independence in this scenario?

Question 9
StatisticsAPConcept Practice
1 mark

A researcher conducts a chi-square test and obtains a significant p-value. However, they notice that there may be confounding variables influencing the relationship between the variables of interest. Discuss the limitations of the conclusions that can be drawn from this test.

Question 10
StatisticsAPConcept Practice
1 mark

A study is conducted to determine if there is a relationship between smoking habits (smoker, non-smoker) and the incidence of lung cancer (yes, no). Which chi-square test should be used?