Applet Exercise Use the applet Hypothesis Testing (for Proportions) (refer to Exercises

Chapter 10, Problem 10.59

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Applet Exercise Use the applet Hypothesis Testing (for Proportions) (refer to Exercises 10.9 10.16) to complete the following. Set up the applet to simulate the results of tests of H0 : p = .8 versus Ha : p > .8, using = .2 and samples of size n = 30. Click the button Clear Summary to erase the results of any previous simulations. a Set the true value of p to .8 and implement at least 200 simulated tests. What proportion of simulations results in rejection of the null hypothesis? b Leave all settings at their previous values except change the true value of p to .75. Implement at least 200 simulated tests and observe the proportion of the simulations that led to rejection of the null hypothesis. Repeat, setting the true value of p to .7 and again with the true value of p = .65. c What would you expect to happen if the simulation was repeated after setting the true value of p to any value less than .65? Try it. d Click the button Show Summary. Which of the true ps used in the simulations resulted in the largest proportion of simulated test that rejected the null and accepted the alternative, Ha : p > .8? Does this confirm any statements made in the last paragraph of Section 10.7? Which statement?