A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger, 30 to 64 years, and 65 years and older. Each person from the sample was surveyed about which of 4 major brands of cell phone they used. Their responses were compiled and displayed in a 3-by-4 contingency table. A researcher will use the data to investigate whether there is an association between cell phone brand and age-group. Which of the following is the appropriate test for the investigation? A) A one-sample t-test for a population mean B) A two-sample t-test for a difference between means C) A chi-square goodness-of-fit test D) A chi-square test of homogeneity E) A chi-square test of independence
A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger, 30 to 64 years, and 65 years and older. Each person from the sample was surveyed about which of 4 major brands of cell phone they used. Their responses were compiled and displayed in a 3-by-4 contingency table. A researcher will use the data to investigate whether there is an association between cell phone brand and age-group. Which of the following is the appropriate test for the investigation?
A) A one-sample t-test for a population mean
B) A two-sample t-test for a difference between means
C) A chi-square goodness-of-fit test
D) A chi-square test of homogeneity
E) A chi-square test of independence
Answer
Answer: E) A chi-square test of independence
Explanation: A chi-square test of independence is used to determine if there is an association between two categorical variables.
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