Chi–Squares
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?
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?
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?
What are the necessary conditions that must be met before conducting a chi-square test?
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?
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?
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?
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A market researcher claims that the distribution of car colors purchased by customers is different from the distribution reported last year. Formulate the null and alternative hypotheses.
A chi-square test yields a p-value of 0.03. Using a significance level of , what conclusion can be drawn?
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.