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

question 115

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

• A) H₀:p₁ = p₂ = p₃ = p₄ = 0,H_A: Not all population proportions are equal to 0,25
• B) H₀:p₁ = p₂ = p₃ = p₄ = 0.25,H_A: Not all population proportions are equal to 0,25
• C) H₀:p₁ = p₂ = p₃ = p₄ = 1,H_A: Not all population proportions are equal to 0,25
• D) H₀:p₁ = p₂ = p₃ = p₄ = 0.20,H_A: Not all population proportions are equal to 0,20

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Definitions:

Judicial Activism

A judicial philosophy that posits judges should use their power broadly to address societal wrongs and interpret the Constitution in the light of contemporary values and conditions.

Constitutional Adaptation

The process through which legal interpretations of the Constitution evolve over time to address new social, political, and technological realities.

Federal Judicial Selection

The process by which judges and justices are appointed to federal courts in the United States, typically involving nomination by the President and confirmation by the Senate.