Assume We Are Interested in Determining Whether the Proportion of Voters

question 32

Multiple Choice

Assume we are interested in determining whether the proportion of voters planning to vote for candidate A (define this proportion as $\pi$ _A) is less than the proportion of voters planning to vote for candidate B (define this proportion as $\pi$ _B) using the contrary position as the null hypothesis.The correct set of hypotheses for testing here is

• A)H₀: \(\pi\) _A - \(\pi\) _B < 0; H_a: \(\pi\)_A - \(\pi\) _B \(\ge\) 0
• B)H₀: \(\pi\) _A - \(\pi\) _B \(\ge\) 0; H_a: \(\pi\) _A - \(\pi\) _B < 0
• C)H₀: \(\pi\) _A - \(\pi\)_B = 0; H_a: \(\pi\) _A - \(\pi\) _B \(\neq\) 0
• D)H₀: \(\pi\)_A - \(\pi\) _B \(\le\) 0; H_a: \(\pi\) _A - \(\pi\) _B > 0
• E)none of the above

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Definitions:

Origin

The point or place where something begins, arises, or is derived.

Isoquants

Isoquants are curves that represent combinations of different inputs that yield the same level of output, used in production theory to analyze input choices.

Marginal Rate

The rate of change in a variable (often cost or benefit) as a result of a unit increase in another variable, commonly used in the context of marginal tax rates or marginal cost.

Technical Substitution

The process of replacing one set of inputs or technologies with another to produce the same amount of output, often for efficiency improvements.