A company has been running television commercials for a new children’s product on five different family programs during the evening hours in a large city over a one-month period. A random sample of families is taken, and they are asked to indicate which of the five programs they viewed most often and their rating of the advertised product.

The results are summarized in the following table.

Family program Product rating A B C D E Excellent 23 29 42 48 51 Good 25 33 44 53 49 Fair 31 29 25 16 10 Poor 38 32 25 18 12 The advertiser decided to use a chi-square test to see if there is a relationship between the family program viewed and the product’s rating. What would be the degrees of freedom for this test?

(a) 3

(c) 12

(e) 19

(b) 4

(d) 18