TABLE 12-10
The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission) at his college is independent of the type of community in which an applicant resides. He takes a sample of recent admissions decisions and forms the following table:
$$\begin{array} { l | l l l | l }
& \text { Admitted } & \text { Wait List } & \text { Denied } & \text { Total } \
\hline \text { Urban } & 45 & 21 & 17 & 83 \
\text { Rural } & 33 & 13 & 24 & 70 \
\text { Suburban } & 34 & 12 & 39 & 85 \
\hline \text { Total } & 112 & 46 & 80 & 238
\end{array}$$ He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-Referring to Table 12-10, the p-value of this test is greater than 0.01.

Question

TABLE 12-10
The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission) at his college is independent of the type of community in which an applicant resides. He takes a sample of recent admissions decisions and forms the following table:
 $$\begin{array} { l | l l l | l } 
& \text { Admitted } & \text { Wait List } & \text { Denied } & \text { Total } \
\hline \text { Urban } & 45 & 21 & 17 & 83 \
\text { Rural } & 33 & 13 & 24 & 70 \
\text { Suburban } & 34 & 12 & 39 & 85 \
\hline \text { Total } & 112 & 46 & 80 & 238
\end{array}$$ He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-Referring to Table 12-10, the p-value of this test is greater than 0.01.

Quizplus · Accepted Answer

The p-value of a chi-square test of independence is calculated based on the observed and expected frequencies in the contingency table. Without performing the actual calculations, we cannot determine the exact p-value, but the statement suggests that the p-value is greater than the significance level of 0.01, indicating that there is not enough evidence to reject the null hypothesis of independence.

TABLE 12-10 the Director of Admissions at a State College

TABLE 12-10
the Director of Admissions at a State College