An LSAT preparation company claims that 80% of its students achieve a score of 160 or higher. An independent agency decides to investigate this claim. They take a simple random sample of 300 students who have used the company's study materials.

(a) What are the null and alternative hypotheses in terms of the original problem?

Null hypothesis:

Alternative hypothesis:

(b) Write down what the box model looks like if the null hypothesis is true.

(c) Among the 300 students sampled, 237 had a score of 160 or higher. Calculate the z test statistic based on the information given.

z = ________________

(d) Now calculate the p-value. p = ________________

(e) What should the independent agency conclude based on this test? Is there enough evidence to reject the company's claim?

YES or NO (circle one)