Reference no: EM132501726
We would like to test if the proportion of Tulane undergraduate students who are studying for their doctorate is 0.25. Suppose we take a sample of 30 Tulane graduate students.
a) What would be the null and alternative hypotheses?
b) What is the mean of the sample proportion, , who are studying for their doctorate degree, in samples of size 30.
c) What is the standard deviation of the sample proportion, , who are studying for their doctorate degree, in samples of size 30.
d) What would be the sample proportion if 9 of the 30 Tulane undergraduate students were studying for their doctorate?
e) Find the z-score of the sample proportion, if, in a sample of 30 Tulane undergraduate students 9 are studying for their doctorate.
f) Is the z-statistic large?
g) Can we reject the Null hypothesis?
h) Is there evidence that the proportion of Tulane undergraduate students who are studying for their doctorate is 0.25?