You are interested in investigating the proportion of sales representatives who bring in new customers in a given month. You collect data on a sample of n = 20 sales representative, and find that 15 of them brought in new customers. Assume you are looking for support for the position that the proportion is different than 0.70, and use = 0.05.

(1) What are the appropriate hypotheses for conducting this test? (2) Calculate the test statistic for the hypothesis test in question (1) above. (3) What is the p-value and what is your conclusion?