A Student Believes That No More Than 20% (I

question 137

Essay

A student believes that no more than 20% (i.e., 20%) of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample received A's.
a.State the null and alternative hypotheses.
b.Using the critical value approach, test the hypotheses at the 1% level of significance.
c.Using the p-value approach, test the hypotheses at the 1% level of significance.

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Definitions:

Edgeworth Box

A diagram used in microeconomics to show the efficient distribution of resources between two individuals or the allocation of two goods in an economy.

Pareto Optimal

In resource distribution, a framework where the betterment of one party directly causes a disadvantage to another party.

Initial Allocation

The initial distribution of resources, goods, or assets among various parties or agents in an economic model or real-world scenario.

Pareto Optimal Allocations

A situation where it is impossible to make any one individual better off without making at least one individual worse off, indicating an efficient allocation of resources.