Women athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the University of Colorado, Boulder, is now less than 67%?
a. State the null (H0) and alternative (Ha) hypotheses.
b. Give the standard score for the data.
c. Find the P-value for this significance test.
d. Sketch your results on the standard Normal distribution
e. Summarize the conclusion in the context of this problem.