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 who participate in the poll from each college and the actual proportion of students in each college. Using the p-value approach and α = 0.01,the decision and conclusion are ___________________________________.
A) do not reject the null hypothesis;all proportions are equal to 0.20
B) do not reject the null hypothesis;we cannot conclude that not all of the proportions are the same
C) reject the null hypothesis;at least one of the proportions is different from its hypothesized value
D) reject the null hypothesis;all of the proportions are not the same

Question

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 who participate in the poll from each college and the actual proportion of students in each college.  Using the p-value approach and α = 0.01,the decision and conclusion are ___________________________________.
A) do not reject the null hypothesis;all proportions are equal to 0.20 
B) do not reject the null hypothesis;we cannot conclude that not all of the proportions are the same 
C) reject the null hypothesis;at least one of the proportions is different from its hypothesized value 
D) reject the null hypothesis;all of the proportions are not the same

Quizplus · Accepted Answer

The null hypothesis is that all proportions are equal to 0.20. The alternative hypothesis is that at least one of the proportions is different from its hypothesized value. Using the p-value approach and α = 0.01, the calculated p-value is less than 0.01. Therefore, we reject the null hypothesis and conclude that at least one of the proportions in the colleges is different from 0.20.

A University Has Six Colleges and Takes a Poll to Gauge