A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations. Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. The chi-square test statistic is 0.19, df = 2, and the P-value is greater than any reasonable significance level. What conclusion should be made? There is convincing evidence that the proportions of these students, parents, and teachers who volunteer at least once a month differs. There is not convincing evidence that the proportion of these students, parents, and teachers who volunteer at least once a month 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 not convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table.

The researcher would like to test these hypotheses:

H₀: There is no difference in the distribution of responses among these three populations.
H_a: There is a difference in the distribution of responses among these three populations.

The conditions for inference are met. The chi-square test statistic is 0.19, df = 2, and the P-value is greater than any reasonable significance level. What conclusion should be made?

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

There is not convincing evidence that the proportion of these students, parents, and teachers who volunteer at least once a month 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 not convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.