Group Work #7 – Chapter 4 (4.1 – 4.2)Name ______Solutions_______Math 117Date _________________________________SaidiSection 4.1: Introducing Hypothesis TestsExample 1: Extrasensory Perception (ESP)In an ESP test, one person writes down one of the letters A, B, C, D, or E and tries to telepathically communicate the choice to a partner. The partner then tries to guess what letter was selected. If there is no ESP and people are just randomly guessing from among the five choices, what proportion of guesses would be correct?a). If no ESP, we expect p = ______ p = 0.2 (since there are five choices and they are randomly guessing)b). Which sample proportion correct would provide the greatest evidence that people have ESP:
c). Write down the null and alternative hypotheses for testing whether people have ESP:
Example 2: Sleep vs Caffeine for MemoryIn an experiment, students were given words to memorize, then were randomly assigned to either take a 90 minute nap or take a caffeine pill. A couple hours later, they were tested on their recall ability. We wish to test to see if the sample provides evidence that there is a difference in mean number of words people can recall depending on whether they take a nap or have some caffeine. What are the null and alternative hypotheses for this test?