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:

Alternate-form Reliability

Refers to a measure's reliability assessed by comparing different versions of the test that are created to be equivalent.

Test-retest Reliability

A measure of consistency where the same test is administered to the same group at two different points in time to assess its stability over time.

Predictive Validity

The extent to which a score on a scale or test predicts scores on some criterion measure.

Typology

A systematic classification or study of types that shares common characteristics.