A University Has Six Colleges and Takes a Poll to Gauge

Multiple Choice

A university has six colleges and takes a poll to gauge student support for a tuition increase. The university wants to ensure each college is represented fairly. The below table shows the observed number of students that participate in the poll from each college and the actual proportion of students in each college. Using the critical value approach, the decision and conclusion are ________.

A) reject the null hypothesis; at least one of the proportions is different from its hypothesized value
B) reject the null hypothesis; all of the proportions are not the same
C) do not reject the null hypothesis; all proportions are equal to 0.20
D) do not reject the null hypothesis; we cannot conclude not all of the proportions are the same