In 2011,the Student Body of a State University in Alabama

question 132

Essay

In 2011,the student body of a state university in Alabama consists of 30% freshmen,25% sophomores,27% juniors,and 18% seniors.A sample of 400 students taken from the 2012 student body showed that there are 138 freshmen,88 sophomores,94 juniors,and 80 seniors.Test with 5% significance level to determine whether the student body proportions have changed.

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Definitions:

Evaluate

To compute or find the value of a mathematical expression or function through substitution of known values.

Verbal Phrase

A phrase that is used to express an action or a state of being, often translated into a mathematical expression.

Algebraic Expression

A mathematical phrase that can include numbers, variables, and operation symbols, but does not contain an equal sign.

Verbal Phrase

A verbal phrase in mathematics refers to a phrase that describes an operation or relation between quantities or variables in words rather than symbols or equations.