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

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. Using the p-value approach and α = 0.05, the decision and conclusion are ________.

A) do not reject the null hypothesis; all of the population proportions are the same
B) reject the null hypothesis; conclude that not all proportions are equal to 0.20
C) reject the null hypothesis; conclude that not all proportions are equal to 0.25
D) do not reject the null hypothesis; we cannot conclude that not all of the proportions are equal to 0.25