For the following situations, give the degrees of freedom for the group (DFG), f

Question

For the following situations, give the degrees of freedom for the group (DFG), for error (DFE), and for the total (DFT). State the null and alternative hypotheses, H0 and Ha, and give the numerator and denominator degrees of freedom for the F statistic.

(b) A researcher is interested in students' opinions regarding an additional annual fee to support non-income-producing varsity sports. Students were asked to rate their acceptance of this fee on a seven-point scale. She received 99 responses, of which 31 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 50 who did not attend any varsity games.

DFG =

DFE =

DFT =

Explanation / Answer

b) There are three different category of the students i.e. students who attend varsity football or basketball games only, students who also attend other varsity competitions, and who did not attend any varsity games. Hence,

DFG = 3 - 1 = 2

Total number of responses = 99

So,

DFT = 99 - 1 = 98

And

DFE = DFT - DFG = 98 - 2 = 96

Hence,

DFG = 2

DFE = 96

DFT = 98

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