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.

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Expert Solution

orchestra answered 1 year ago

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