Question

An administrator at CNM decided to survey CNM students to see if they would be willing to pay higher student fees for improved computer facilities on campus.   She planned to raise the fees if she knew that more than 50% of the students would agree with the decision.  She surveyed a random sample of 1000 students from CNM and categorized their answers as either "agree" or "don't agree". She found that 55% of the sample were in favor of increased fees.  A Chi-square test showed that the 550 agree out of 1000 surveyed result was significantly greater than 50%.

Part 1: What was the population in the study?

Part 2: Do you think the sample was representative of the population? Why or why not?

Part 3: What is the null hypothesis for this test?

Part 4: Was the administrator was justified in increasing the fees based on the results of the survey? Explain your answer.

Answer 1

1. the population was the students of CNM

2. yes the sample is a representative of the population as it is randomly selected from the cnm sttudents

3. the null hypothesis would be that average agreement on fees increent is greater than 50%

hence,

4. ye sthe administrator was justified in increasing the fees as the resuts of the survey bshow that 55% students agreed to the increment and the hypothesis clearly stated that if moree than 50% agree then the fees wil be increase