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

Question

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

Quizplus · Accepted Answer

The chi-square test value of 4.198 is less than the critical value of 5.991 for 2 degrees of freedom at $\alpha = 0.05$, indicating there is not enough evidence to reject the claim.

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

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