Question

I just need help finding the degree of freedom for these four, thank you!

Part(a) A student tests whether the professor's speaking style (monotone, dynamic) and student interest (low, high) are independent. State whether the chi-square goodness-of-fittest or the chi-square test for independence is appropriate. O . State the degrees of freedom for the test df Part (b) An instructor tests whether class attendance (low average, high) and grade point average (low, average, high) are independent State whether the chi-square goodness-of-fittest or the chi-square test for independence is appropriate. State the degrees of freedom for the test df Part (c) A health psychologist records the number of below average, average, overweight, and obese individuals in a sample of college students. State whether the chi-square goodness-of-fittest or the chi-square test for independence is appropriate. State the degrees of freedom for the test df = Part (d) A sports psychologist compares the number of athletes with Type A or Type B personality traits. State whether the chi-square goodness-of-ft test or the chi-square test for independence is appropriate State the degrees of freedom for the test df

Answer 1

a) Number of rows (r) = 2 for (monotone, dynamic)

number of columns (c) = 2 (low, high)

Degree of freedom df = (r-1) * (c-1) = (2-1) * (2-1) = 1*1 =1

df = 1

b)

Number of rows (r) = 3 (low,average,high)

number of columns (c) = 3 (low, average, high)

Degree of freedom df = (r-1) * (c-1) = (3-1) * (3-1) = 2*2 =4

df = 4

c) k = 4 (below average, average, over weight and obese)

df = k - 1 = 4 - 1 = 3

df = 3

d) k = 2 (type A or Type B)

df = k -1 = 2-1 = 1

df =1