A Random Group of Seniors Was Selected from a University $50 \%$

question 64

Multiple Choice

A random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that $50 \%$ of the students plan to work, $20 \%$ of the students plan to continue in school, and $30 \%$ of the students plan to take some time off. Is there evidence to reject this hypothesis at $\alpha = 0.05$ ?
$\begin{array} { l c c c } \text { Plans } & \text { Work } & \text { School } & \text { Time off } \\ \text { Number of students } & 21 & 13 & 8 \end{array}$

• A) There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 5.991
• B) There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 7.815
• C) There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 5.991
• D) There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 7.815

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Definitions:

Variables

Elements, traits, or conditions that can change or vary within an experiment or dataset.

Descriptive Statistics

Descriptive statistics consist of methods for summarizing and organizing data, such as measures of central tendency and variability, to describe its main features.

Inferential Statistics

The branch of statistics that focuses on drawing conclusions about a population based on a sample taken from it, usually through hypothesis testing or estimation.

Example

An instance or case that is representative of a concept or demonstrates a particular situation or principle.