A study was conducted to investigate whether there

evighetl2b

evighetl2b

Answered question

2022-03-18

A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference.
A. A two-sample z-test for a difference between proportions
B. A chi-square test of homogeneity
C. A chi-square test of independence
D. A chi-square goodness-of-fit test

Answer & Explanation

Gideon Hutchinson

Gideon Hutchinson

Beginner2022-03-19Added 4 answers

The chi-square test of homogeneity is used for testing whether the values from two or more groups based on a categorical variable of populations have the same population distribution or not. In other words, the test is used when there is only one categorical variable which is measured for different groups or populations, to determine whether the frequencies of different groups are same for different populations.
The study was conducted for investigating whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions (groups), and in each region a random sample of peanut butter eaters were asked 'whether they preferred creamy or crunchy peanut butter' which is categorical variable. In this study, a single categorical variable is measured for different regions. Thus, 'chi-square test of homogeneity' is appropriate for the given situation.
bioadferatxh

bioadferatxh

Beginner2022-03-20Added 7 answers

Correct answer: Option B. A chi-square test of homogeneity

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