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

question 6

Multiple Choice

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

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