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Adolfo Hebert

Adolfo Hebert

Answered question

2022-03-30

Resources O Hint Press Esc to exit full screen Are younger people more likely to be vegan/vegetarian? To investigate, the Pew Research Center classified a random sample of 1480 U.S. adults according to their age group and whether or not they are vegan/vegetarian.
Determine which chi-square test is appropriate for the given setting. Which response below gives the correct test with appropriate reasoning?
a. Chi-square goodness of fit test because the data came from a single random sample with the individuals classified by their chocolate consumption.
b. Chi-square test for homogeneity because the data come from two independent random samples – those who are vegan/vegetarian and those who are not.
c. Chi-square test for homogeneity because the data came from a single random sample with the individuals classified according to two categorical variables.
d. Chi-square test for independence because the data came from a single random sample with the individuals classified according to two categorical variables.
e. Chi-square test for independence because the data come from two independent random samples – those who are vegan/vegetarian and those who are not.

Answer & Explanation

etsahalen5tt

etsahalen5tt

Beginner2022-03-31Added 8 answers

It was stated that “Are younger people more likely to be vegan/vegetarian?”, To investigate, the Pew Research Centre classified a random sample of 1480 U.S. adults according to their age group and whether or not they are vegan/vegetarian.
Need to determine which chi-square test is appropriate for the given setting.
In the given scenario, there are two categorical variables. One is vegan/vegetarian and the other is age group. These two are categorical variables re drawn from a single population that is, U.S adults.
Here, the test is to evaluate if there is any significant association between the categories of the two variables.
Thus, the Chi-square test for independence because the data came from a single random sample with the individuals classified according to two categorical variables.
Hence, d is the correct choice.

sa3b4or9i9

sa3b4or9i9

Beginner2022-04-01Added 14 answers

Explanation for incorrect answers:
The given statement is, chi-square goodness of fit test because the data came from a single random sample with the individuals classified by their chocolate consumption. Here, the variables under study are vegan/vegetarian and age group. Thus, the option is incorrect.
The given statement is, chi-square test for homogeneity because the data come from two independent random samples - those who are vegan/vegetarian and those who are not. From the given scenario the sample is taken from the U.S adults. Thus, the samples are drawn from one population, Hence, the option is incorrect.
Chi-square test for homogeneity because the data came from a single random sample with the individuals classified according to two categorical variables. Homogeneity can be tested for several groups. Thus, the option is incorrect.
Chi-square test for independence because the data come from two independent random samples - those who are vegan/vegetarian and those who are not. Test for independence is applied when the sample is taken from one population. Thus, the option is incorrect.

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