Instruction 15-12
the Director of Admissions at a Local University

question 61

Short Answer

Instruction 15-12
The director of admissions at a local university is interested in investigating if admissions status (admitted, waiting list, denied admission) 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:
$$\begin{array} { | l | c | c | c | c | } \hline & \text { Admitted } & \text { Wait List } & \text { Denied } & \text { Total } \\\hline \text { Urban } & 45 & 21 & 17 & 83 \\\hline \text { Rural } & 33 & 13 & 24 & 70 \\\hline \text { Suburban } & 34 & 12 & 39 & 85 \\\hline \text { Total } & 112 & 46 & 80 & 238 \\\hline\end{array}$$ He will use this table to run a chi-square test of independence with a level of significance of 0.01.
-Referring to Instruction 15-12,the expected cell frequency for the Admitted/Urban cell is _______.

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Definitions:

Equations

Mathematical statements that assert the equality of two expressions, often involving one or more variables.

Elimination

A method in algebra for solving systems of equations, removing one variable at a time to find their values.

Linear Equations

Equations between two variables that produce a straight line when graphed.

Consistent

In the context of systems of equations, it refers to a system that has at least one set of solutions.