1)

A study claims that 9% of graduate students drink at least one alcoholic beverage daily. A

graduate student researcher is suspicious of the claim and thinks that the proportion is

greater than 9%. A random sample of 80 graduate students found that 10 students drink

at least one alcoholic beverage daily. Is there enough evidence to show that the

proportion of daily graduate student drinkers is greater than 9%?

a. Determine the sample proportion ().

b. Should the outcome variable be considered continuous or dichotomous?

Note: The next 5 questions follow the Five-Step Approach to Hypothesis Testing.

c. Set up the appropriate null and alternative hypotheses. Conduct the test at a significance level of 0.10.

d. Select the appropriate test statistic. Should a z or t test statistic be used for this hypothesis test? Explain your reasoning and/or show your work.

e. Set up the decision rule for this hypothesis test.Make sure to include the appropriate z or t critical value.

f. Compute the appropriate test statistic for this hypothesis test. Show your work.

g. Make a decision using the decision rule in (e) and write out an appropriate conclusion.

h. Do you expect the p-value for this test to be above or below the significance level of 0.10? Explain