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Instruction 15-9
the Director of Admissions at a Local University

question 34

Short Answer

Instruction 15-9
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:
 Admitted  Wait List  Denied  Total  Urban 45211783 Rural 33132470 Suburban 34123985 Total 1124680238\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 15-9,the critical value of the test is ________.


Definitions:

Negative

A term that describes a value less than zero, indicating direction, charge, or a decrease in a measurable quantity.

Central Location

A statistical term that refers to the center or typical value in a set of data, often measured by mean, median, or mode.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values; how spread out numbers are around the mean.

Median

The middle value of a data set, which divides the set into two equal halves when arranged in ascending or descending order.

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