17.22: Use this calculation table for the chi-square test for goodness of fit to

Question

17.22: Use this calculation table for the chi-square test for goodness of fit to complete this exercise.

Observed expected                           

Category      (O)            (E)             O –E            (O-E)2                  (O – E)2

                                                                                                         E

1                    48             60

2                    46             30

3                     6              10

a. Calculate degrees of freedom for this chi-square test for goodness of fit.

b. Perform all of the calculations to complete this table.

c. Compute the chi-square statistic.

Explanation / Answer

a)

df = n - 1 =3 - 1

df = 2 [answer]

******************

b)

Consider the table:

c)

Summing the last column,

chi^2 = Sum [(O - E)^2/E] = 12.533333 [answer]

Category O E (O-E) (O-E)^2 (O-E)^2/E 1 48 60 -12 144 2.4 2 46 30 16 256 8.533333 4 6 10 -4 16 1.6

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