SOLUTION: 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 college teacher seems to t

Question 1079141: 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 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%.
- Find the test statistic and p value
- State the null and alternative hypotheses and distribution you will use

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:no difference between teacher's rate and the historical rate
Ha: there is a difference
alpha=0.01
test statistic is one sample proportion z=(phat-p)/sqrt (p*(1-p))/n
critical value |z|>2.576
z=(0.117)/0.0290
=4.03
highly significant difference, so reject Ho.
p-value <0.0001

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