Answered: The random and 10% conditions are met.…

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 random and 10% conditions are met. Is the Large Counts condition met?

Yes, the smallest expected count is 5.85, so all expected counts are at least 5.

Yes, the smallest expected count is 6, so all expected counts are at least 5.

No, the smallest expected count is 0.04, so the expected counts are not all at least 5.

No, the smallest expected count is 0.05, so the expected counts are not all at least 5.