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

question 7

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

---

Definitions:

Chain-style Business

A business model where multiple outlets are owned, franchised, or managed under a single brand or corporation.

Franchisor's Standards

Regulations and expectations set by the franchisor that the franchisee is required to follow to maintain the consistency and quality of the brand.

Franchise

A licensed privilege to operate a business under a larger company's brand and operational model, often including a specific geographic area.

Franchise Rule

A regulation designed to govern the sale of franchises, requiring franchisors to provide potential franchisees with disclosure documents containing vital details about the franchise.