Question
In: Statistics and Probability
Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source:...
Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source: Chronicle of Higher Education). Over the past several years, a random sample of 38 female athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of female athletes who graduate from the University of Colorado, Boulder, is now less than 67% ? Use a 5% level of significance.
a) Which distribution applies: the Standard Normal or the t distribution? Why?
b) What is the value of the level of significance? State the null and alternate hypotheses. Is it a left-tailed, right-tailed, or two-tailed test?
c) Compute the value of the sample test statistic (either t* or z*).
d) Find the critical value(s). Sketch the sampling distribution and show the critical value(s) and region(s).
e) Based on your answers in parts (a) to (d), will you reject or fail to reject the null hypothesis at the given level of significance?
f) Interpret your conclusion in the context of the application.
Solutions
orchestra answered 2 years agoRelated Solutions
Women athletes at the University of Colorado – Boulder have a long-term graduation rate of 62%...
Women athletes at the University of Colorado – Boulder have
a long-term graduation rate of 62% (Source: The Chronicle of Higher
Education). Over the past several years, a simple random sample of
42 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 of Colorado –
Boulder is now less than 62%? Use a 5% significance level and the
Traditional method.
check the requirements
Establish...
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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