D) sketch the sampling distribution and show the area corresponding to the p valueE) based on your answer in parts a to c, will you reject the null hypothesis? Are the data statistically at level?___ at 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.____ at 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.____ at 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.___ at 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significantF) interpret your conclusion in the context ___ there is sufficient evidence at 0.01 level to conclude that the true proportion of women athletes who graduate is less than 0.67__ there is insufficient evidence

14.08 Women athletes at a certain university 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 is now less than 67%? Use a 1% level of significance. LO USE SALT (a) What is the level of significance? (b) State the null and alternate hypotheses. O Ho: P = 0.67; H1: p > 0.67 O Ho: P 5 and nq > 5. O The standard normal, since np 5 and nq > 5. O The Student's t, since np