Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of36women athletes at the school showed that21eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a1%level of significance.

(a) What is the level of significance?

State the null and alternate hypotheses.

(b) What sampling distribution will you use?

What is the value of the sample test statistic?

(c) Find theP-value of the test statistic.

Sketch the sampling distribution and show the area corresponding to theP-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

(e) Interpret your conclusion in the context of the application.