1. A claim is made that the proportion of college graduates majoring in accounting has decreased. A previous study indicated that 6.3% of college graduates majored in accounting. A study of 712 graduates found that 5.2% majored in accounting.

a. What is the sample proportion and how did you find it?

b. State the null and alternative hypothesis.

c. Find the p-value on your TI calculator, report the commands and the value.

d. What is the decision? How did you make that decision?

e. What is the conclusion?

2. Suppose you are testing to see if your classmate can tell Dr. Pepper from Dr. Thunder and you are using 30 trials. Half are Dr. Thunder and half are Dr. Pepper. The null hypothesis is that the person is guessing.

a. About how many tastes should you expect your classmate to get right under the null hypothesis that the person is guessing? 

b. How would you write the null hypothesis and alternative hypothesis for this problem?

c. Suppose one classmate gets 19 out of 30 right and another classmate gets 27 out of 30 right. Which will have a smaller p-value and why?