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:

Normal Populations

Populations in which the distribution of a variable follows a normal distribution, characterized by a symmetric bell-shaped curve.

Statistical Technique

Methods used in the analysis, interpretation, and presentation of numerical data.

Significance Level

The threshold at which the results of statistical analysis are deemed to be significantly different than what would be expected by chance alone.

Hamburger Quality

A measure of the characteristics or attributes of a hamburger, including factors such as taste, texture, and ingredient freshness.