It is speculated that statistics classes in community college has a retention rate of 65% (this is the percentage of students who complete the course). A Cañada College teacher seems to think that his retention rate is significantly better than 65%. He collected data from his past classes and found that out of 270 students, his retention rate was 76.7%. At the 0.01 significance level, test the claim that this teacher's retention rate is significantly greater than 65%.
a) State the null and alternative hypotheses.
b) State the distribution that you will use.
c) Find the test statistic and use the appropriate variable.
d) Find the p-value.
e) Reject -or- Fail to Reject?
f) State your actual conclusions in words.
g) Construct a 98% confidence interval.