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

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.