Which of the following is a reason not to use a chi-square test of homogeneity to analyze a set of data? A) The data consist of one categorical variable for two or more different populations and are summarized by counts in a two-way table. B) The data were obtained through a simple random sample from a single population and summarized by counts on two categorical variables. C) The data were obtained from more than two populations to investigate whether the proportions for categorical data collected are the same. D) The data were obtained from four different regions to investigate whether the distribution of a categorical variable is different across the four regions. E) The data were obtained using a simple random sample of a population from last year and a simple random sample of the same population from this year where the data collected were categorical variables.
Which of the following is a reason not to use a chi-square test of homogeneity to analyze a set of data?
A) The data consist of one categorical variable for two or more different populations and are summarized by counts in a two-way table.
B) The data were obtained through a simple random sample from a single population and summarized by counts on two categorical variables.
C) The data were obtained from more than two populations to investigate whether the proportions for categorical data collected are the same.
D) The data were obtained from four different regions to investigate whether the distribution of a categorical variable is different across the four regions.
E) The data were obtained using a simple random sample of a population from last year and a simple random sample of the same population from this year where the data collected were categorical variables.
Answered
Answer: B) The data were obtained through a simple random sample from a single population and summarized by counts on two categorical variables.
Explanation: A chi-square test of homogeneity is used to compare categorical distributions across multiple populations or groups. For data from a single population, a chi-square test of independence or a different test might be appropriate.
BNO Team