Question: (Testing a Proportion p) College Athletic Graduation Rate Women athletes 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 the population proportion of women athletes who graduate from the University Colorado Boulder; is now less than 67 %? Use a 5 % level of significance.

What is the level of significance? State the null and alternate hypotheses.

What sampling distribution will you use? Do you think the sample size is sufficiently large? What is the value of the sample test statistic?

Find the P value. Sketch the sampling distribution and how the area corresponding to the P value.

Based on your answers in parts a to c will you reject for fail to reject the null hypothesis? Are the data statistically significant at level a ?

State your conclusion in the context of the application.