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# Chi-Square

(1) In a contingency table a sample of 400 people is classified by gender and hair color (4 groups: blond, brown, black, and red). How many degrees of freedom are there?

A. 3
B. 8
C. 399
D. None of the above.

(2) To find the expected frequency in a contingency table

A. Take the square root of the degrees of freedom.
B. Multiply the row and column totals and divide by the grand total.
C. Use the total number of observations minus one.
D. None of these.

(3) Suppose we are conducting a Chi-Square Goodness of Fit test of hypothesis to determine if a set of observations with 6 categories meets an expected set. How many degrees of freedom are there?

A. 5
B. 97
C. 3
D. None of these

(4) Under what conditions could the Chi-square distribution assume negative values?

A. When the sample size is small.
B. When the cell frequencies are all equal.
C. When the degrees of freedom is 1.
D. Never

#### Solution Preview

(1) In a contingency table a sample of 400 people is classified by gender and hair color (4 groups: blond, brown, black, and red). How many degrees of freedom are there?

The degrees of freedom equals the number of rows - 1 multiplied by the number of columns - 1. ...

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