TABLE 14-18 A Logistic Regression Model Was Estimated in Order to Predict

question 96

Short Answer

TABLE 14-18
A logistic regression model was estimated in order to predict the probability that a randomly chosen university or college would be a private university using information on mean total Scholastic Aptitude Test score (SAT) at the university or college, the room and board expense measured in thousands of dollars (Room/Brd), and whether the TOEFL criterion is at least 550 (Toefl550 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).
The Minitab output is given below:
-Referring to Table 14-18, what should be the decision ('reject' or 'do not reject') on the null hypothesis when testing whether Toefl500 makes a significant contribution to the model in the presence of the other independent variables at a 0.05 level of significance?

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Definitions:

Test Statistic

A numerical value calculated from a sample and used in hypothesis testing to evaluate the plausibility of the null hypothesis.

Critical Region

The set of values for which the null hypothesis is rejected in a statistical test.

Null Hypothesis

A default assumption in statistical hypothesis testing that there is no effect or no difference, used as a basis for testing statistical significance.

Test Statistic

A statistic calculated from sample data, used to determine the p-value in hypothesis testing.