Last School Year, in the School of Business Administration, 30

question 94

Essay

Last school year, in the school of Business Administration, 30% were Accounting majors, 24% Management majors, 26% Marketing majors, and 20% Economics majors. A sample of 300 students taken from this year's students of the school showed the following number of students in each major:
$\begin{array}{lr}\text { Accounting } & 83 \\\text { Management } & 68 \\\text { Marketing } & 85 \\\text { Economics } & 64 \\\text { Total } & 3 00\end{array}$ We want to see if there has been a significant change in the number of students in each major.
a. Compute the test statistic.
b. Has there been any significant change in the number of students in each major between the last school year and this school year. Use the p-value approach and let α = .05.

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Definitions:

Kruskal-Wallis Test

A non-parametric method for testing whether samples originate from the same distribution, used as an alternative to the one-way ANOVA when the distribution assumption is violated.

F-test

A statistical test used to compare two variances and determine if they come from populations with equal variances.

Kruskal-Wallis Test

A nonparametric method for testing whether samples originate from the same distribution, used when the assumption of normality in ANOVA is violated.

P-value

The probability of observing test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is true.