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Students in Statistics Classes Were Asked Whether They Preferred a 10-Minute

question 38

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Students in statistics classes were asked whether they preferred a 10-minute break or to allow them go out of class 10 minutes early. In a sample of 150 students, 40 preferred a 10-minute break, 80 preferred going out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students' preferences. The p-value for testing the hypotheses is

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Definitions:

Zero-Sum Game

A theoretical situation in negotiation or conflict where one party's gain is directly proportional to another's loss, leaving no net benefit.

Constant-Sum Game

A situation in decision theory where the total payoff to all players remains constant regardless of the strategies employed, implying that any gain by one party directly corresponds to a loss by another.

Distributive Bargaining

A negotiation strategy in which parties compete over the distribution of a fixed asset or resource, often resulting in a win-lose situation.

Zero-Sum

A situation in game theory and economic theory where each participant's gain or loss is exactly balanced by the losses or gains of the other participants.

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