Chapter 2

Exercises: 2.51, 2.52, 2.54

Also:

1. For the lady tasting tea example, plot the power function, assuming she tastes 10 cups and we reject the null hypothesis if she identifies 8 or more cups correctly.
2. Suppose Talia claims to have ESP. To test her claim, researchers use a deck of five cards, each of which has a different image drawn on it. As an assistant concentrates on one of the cards (out of Talia's sight), Talia is asked to identify the card. Suppose the test is repeated 200 times.
   1. What should be the null hypothesis for this test?
   2. What would you use for a test statistic?
   3. What is the p-value of the test if she identifies 61 cards correctly?
   4. How many cards should she be required to identify correctly so that the test has a significance level as close as possible to 0.05?
   5. Plot the power function of the test using the criterion found in d.