Chi-Square Test for Homogeneity — Quiz

Question 1 • Statistics

The conditions for inference are met. The chi-square test statistic is 0 point 1 9 , df is equal to 2 , and the cap p -value is greater than any reasonable significance level. What conclusion should be made?

Answer

There is not convincing evidence that the proportion of these students, parents, and teachers who volunteer at least once a month differs.

There is not convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.

There is convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.

There is convincing evidence that the proportions of these students, parents, and teachers who volunteer at least once a month differs.

Explanation

A chi-square statistic of 0.19 with 2 degrees of freedom gives a large p-value, so there is not convincing evidence against the null hypothesis that the response distributions are the same. The conclusion should refer to the populations represented by the students, parents, and teachers, not just these particular people. Thus, there is not convincing evidence that the population response distributions differ.

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