Each Person in a Random Sample of 200 Students and a Random

question 19

Multiple Choice

Each person in a random sample of 200 students and a random sample of 150 faculty at a large university was asked "Do you take public transportation to campus?" Fifty-eight percent of the students and 46% of the faculty responded "Yes". This data was used to carry out a test of the hypotheses . The value of the test statistic was z = 2.226. For a significance level of 0.01, which of the following is correct? ​

• A) should be rejected; there is convincing evidence that the proportion of people who take public transportation to campus is different for students and faculty.
• B) should be rejected; there is convincing evidence that the proportion of people who take public transportation to campus is the same for students and faculty.
• C) should not be rejected; there is not convincing evidence that the proportion of people who take public transportation to campus is different for students and faculty.
• D) should not be rejected; there is not convincing evidence that the proportion of people who take public transportation to campus is the same for students and faculty.
• E)There is not enough information provided to be able to decide whether should be rejected or not.

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Definitions:

Second-Order Model

A second-order model in statistics or mathematics represents relationships where the effect of variables is not just linear but can also include squared terms or interactions between variables.

Predictor Variable

Also known as the independent variable, it is used in statistical models to predict the outcome of a dependent variable.

Response Surface

A graphical representation of how a response variable relates to two or more explanatory variables in an experiment.

Intercept

The point where the line of a graph crosses the y-axis in a coordinate system, indicating the value of the dependent variable when the independent variable is zero.