TABLE 12-11 The Director of Admissions at a State College Is Interested

question 180

True/False

TABLE 12-11
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:

He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-Referring to Table 12-11, the alternative hypothesis claims that "there is some connection between admission status at the college and the type of community in which an applicant resides."

---

Definitions:

Sample Variances

A measure of the dispersion or variability within a sample data set, which indicates how much the sample elements differ from the sample mean.

Test Statistic

A standardized value that is calculated from sample data during a hypothesis test. It's used to determine whether to reject the null hypothesis.

Two-tail Test

A statistical test where the critical area of a distribution is two-sided and tests whether a sample is greater than or less than a certain range of values.

Sample Variances

A measure of the dispersion or variability within a sample data set, calculated as the sum of squared deviations from the mean, divided by the number of observations minus one.