*Instructions: In testing situations, carry out a two-tailed test and use a p-value threshold of 5% unless explicitly directed otherwise.

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