Question
In: Statistics and Probability
The long-term graduation rate for female athletes at a certain midwestern university is 72%. A random...
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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
orchestra answered 1 year agoRelated 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...
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