SCENARIO 13-18
a Logistic Regression Model Was Estimated in Order

question 44

Short Answer

SCENARIO 13-18
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 and whether the TOEFL criterion is at least 90 (Toefl90 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).There are 80 universities in the sample.
The PHStat output is given below:
Binary Logistic Regression $$\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } &{ Z } & p \text {-Value } \\\hline \text { Intercept } & - 3.9594 & 1.6741 & - 2.3650 & 0.0180 \\\text { SAT } & 0.0028 & 0.0011 & 2.5459 & 0.0109 \\\text { Toefl90:1 } & 0.1928 & 0.5827 & 0.3309 & 0.7407\\\text { Deviance } & 101.9826\\\end{array}\\\end{array}$$
-Referring to SCENARIO 13-18, what should be the decision ('reject' or 'do not reject') on the null hypothesis when testing whether Toefl90 makes a significant contribution to the model in the presence of SAT at a 0.05 level of significance?

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Definitions:

Verbal Compliments

Verbal compliments are expressions of praise or admiration communicated through spoken words to acknowledge someone's qualities or achievements.

Reinforcement Contingencies

The conditions or rules that determine whether responses lead to the presentation of reinforcers or not, influencing the likelihood of a behavior occurring again.

Desirable

Qualities or features that are attractive or worth having.

Intermittent Reinforcement

A conditioning schedule where rewards or punishments are given out unpredictably, significantly impacting behavior.