Question

In a survey of 116 randomly selected new first-year students at the University of Maine 2019 summer orientation, 82 replied that they were anxious about starting college in the fall. Test the claim that less than 75% of all new first-year students at the University of Maine were anxious about starting college using the 1% level of significance.

(Results from the New Student Survey (2019) UMaine Office of Institutional Research October 2019).

a. (2pts) List the given information with the correct symbols.

b. (2pts) Set up the hypotheses.

c. (2pts) Check conditions.

d. (2pts) Show the setup for the computation of the test statistic and compute its value.

e. (2pts) Compute the p-value. Show the calculator function and values used to get your answer. Round your answer to 4 decimal places.

f. (4 pts) State the conclusion in the context of the problem g. (6 pts) Draw a distribution curve. Illustrate the meaning to the value of the claimed parameter, the statistic, the test statistic and the p-value.

Answer 1