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

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Definitions:

Fixed Manufacturing Overhead

Costs that do not change with the level of production, such as rent, salaries, and insurance for the manufacturing facilities.

Budget Variance

The difference between the budgeted or baseline amount of expense or revenue, and the actual amount.

Insurance Rates

The cost per unit of coverage set by insurance companies, determining the premium paid by policyholders.

Volume Variance

The difference between the expected volume of sales or production and the actual volume, which affects budgeting and operational planning.