A card-dealing machine deals spades (1), hearts (2), clubs (3), and diamonds (4) at random as if from an infinite deck. In a randomness check, 1,600 cards were dealt and counted. The results are shown below. For the goodness-of-fit test, the degrees of freedom are ________.

Question

A card-dealing machine deals spades (1), hearts (2), clubs (3), and diamonds (4) at random as if from an infinite deck. In a randomness check, 1,600 cards were dealt and counted. The results are shown below.  For the goodness-of-fit test, the degrees of freedom are ________.

Quizplus · Accepted Answer

The degrees of freedom for a goodness-of-fit test are calculated by taking the number of categories minus 1. In this case, there are 4 categories (spades, hearts, clubs, diamonds), so the degrees of freedom are 4-1=3. Therefore, the best choice is B, as it correctly identifies the degrees of freedom for this problem.

A Card-Dealing Machine Deals Spades (1), Hearts (2), Clubs (3)