When a survey calls residential phone numbers at random, only 20% of the calls reach a live person. You watch a random dialing machine make 50 calls and find that it reaches 13 live people. You want to use these data to test this claim of 20%.
a. Write out the appropriate null and alternative hypotheses for this test. If you use variables, be sure to define what they represent.
b. Explain how you would find the p-value of your test in (a). You do not actually have to calculate the p-value; just write the steps fo1r how you would find it.