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Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1

Answer :

Answer: C) 4

Step-by-step explanation:

MrRoyalgo

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

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