A Student Believes That No More Than 20% (I $\le$ 20%) of the Students Who Finish a Statistics Course Get

question 107

Essay

A student believes that no more than 20% (i.e., $\le$ 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 a critical value, test the hypothesis at the 1% level of significance.
c.Using a p-value, test the hypothesis at the 1% level of significance.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.