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. To test if the poker-dealing machine deals cards at random,the null and alternative hypotheses 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.  To test if the poker-dealing machine deals cards at random,the null and alternative hypotheses are ________________________________________.

Quizplus · Accepted Answer

The null hypothesis is that all population proportions are equal to 0.25, indicating that the card-dealing machine deals cards at random. The alternative hypothesis is that not all population proportions are equal to 0.25, suggesting that the card-dealing machine does not deal cards at random. Option B accurately represents the null and alternative hypotheses.

A Card-Dealing Machine Deals Spades (1),hearts (2),clubs (3),and Diamonds (4)at