Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 39 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1%level of significance.

Question

Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 39 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1%level of significance.

What is the value of the sample test statistic? And what is the p-value of the test statistic?