Question

In: Statistics and Probability

The long-term graduation rate for female athletes at a certain midwestern university is 72%. A random...

  1. The long-term graduation rate for female athletes at a certain midwestern university is 72%. A random sample of female athletes at this school over the past few years showed that 29 of 35 females athletes graduated.

    (a) (10 pts) Test to determine if the proportion of female athletes who graduate from this school is greater than 72% at the 0.05 level of significance.

    (b) (5 pts) Suppose that a Type I error was made in the hypothesis test in part (a). Explain what a Type I error would be in the context of this problem. What is the probability of committing a Type I error in this problem?

Solutions

Expert Solution


Related Solutions

Women athletes at the University of Jamestown have a long-term graduation rate of 72%. Over the...
Women athletes at the University of Jamestown have a long-term graduation rate of 72%. Over the past several years, a random sample of 45 women athletes at the school showed that 30 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 72%? State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 19 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. a)What is the level of significance? b)State the null and alternate hypotheses. H0: p = 0.67; H1: p > 0.67...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 40 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. (a) State the null and alternate hypotheses. H0: p = 0.67; H1: p ≠ 0.67 H0: p < 0.67; H1:...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 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 10% level of significance. (a) What is the level of significance? (b) State the null and alternate hypotheses. (c) What is the value of...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 22 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 10% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.67; H1: p <...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 40 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 5% 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...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 42 women athletes at the school showed that 22eventually 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. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.67; H1:  p < 0.67H0: p...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 18 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. (a) What is the level of significance? State the null and alternate hypotheses. H0: p < 0.67; H1: p =...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the 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 5% level of significance. (a) What is the level of significance?____ State the null and alternate hypotheses. __H0: p = 0.67; H1: p ≠...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 41 women athletes at the school showed that 23eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 5% 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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT