Women athletes at the a certain university have a long-termgraduation rate of 67%. Over the past several years, a randomsample of 40 women athletes at the school showed that 21 eventuallygraduated. Does this indicate that the population proportion ofwomen athletes who graduate from the university is now less than67%? Use a 1% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p < 0.67;H1: p = 0.67H0:p = 0.67; H1: p >0.67    H0: p =0.67; H1: p ≠0.67H0: p = 0.67;H1: p < 0.67
(b) What sampling distribution will you use?
The standard normal, since np > 5 and nq> 5.The Student's t, since np > 5 andnq > 5.    The Student'st, since np < 5 and nq < 5.Thestandard normal, since np < 5 and nq <5.
What is the value of the sample test statistic? (Round your answerto two decimal places.)
(c) Find the P-value of the test statistic. (Round youranswer to four decimal places.)
Sketch the sampling distribution and show the area corresponding tothe P-value.
