The administration of Kent University is concerned that a significance number of their students are not graduating in 4 years. One factor that may contribute to the low graduation rate after 4 years could be the number of students that change their majors after the first year at Kent University. A nationwide study found that 49% of first year students at any university change their major after the first year. Kent University sampled 100 students and found that 47 had changed their major after their first year. At the .05 level, is the proportion of students at Kent University that change their major higher than 49%?
a. State the hypotheses
b. State the decision rule
c. Compute the test statistic
d. What is your conclusion?
e. What is the p-value. What does it mean?