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The Admissions Office of a Private University Released the Following

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The admissions office of a private university released the following admission data for the preceding academic year: From a pool of 4,400 male applicants, 30% were accepted by the university, and of these, 50% subsequently enrolled. Additionally, from a pool of 3,600 female applicants, 40% were accepted by the university, and of these, 30% subsequently enrolled. What is the probability that a student who applies for admission will be accepted by the university and subsequently will enroll?


Definitions:

Goodness-of-fit Test

A statistical test used to determine how well a statistical model fits a set of observations. It measures the discrepancy between observed values and the values expected under the model in question.

SAS Proficiency

The level of skill and knowledge in using Statistical Analysis System (SAS) software for statistical analysis.

Statistical Software

Computer programs designed to perform statistical analysis, helping in data entry, manipulation, and presentation of results.

Two-way Table

A data organization method that displays frequencies or counts of variables in rows and columns, facilitating the examination of relationships between two categorical variables.

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