Lesson 5.05 Assignment In 1973 Gallup began asking people whether UFOs were real. Over the years, a small percentage of Americans have stated they have seen a UFO, however the proportion of Americans who believe in UFOs seems to be growing. A poll in March of 2021 randomly surveyed 1009 U.S. adults. Let's suppose that 310 of the 450 men surveyed responded "yes" to the question "Do you personally believe that there is intelligent life on other planets, or not?" and 352 of the 559 women surveyed responded "yes" to the same question. Do these data provide evidence that a larger proportion of U.S. men believe that there is intelligent life on other planets than U.S. women? In this assignment, you will conduct a hypothesis test. 1) Hypothesis (2 pts): Let p represent the true proportion of U.S. men who believe that there is intelligent life on other planets. Let p represent the true proportion of U.S. women who believe that there is intelligent life on other planets. Write the appropriate null and alternative hypotheses for this problem. 2) Model/Conditions (4 pts): a) State the appropriate test: b) Verify the conditions for this test (Show appropriate justification - make sure to show how you found the pooled/combined proportion) 3) Mechanics (2 pts) Calculate the test statistic and p-value (you can use your calculator) a) Test Statistic: b) P-value: 4) Conclusion (3 pts) Do these data provide evidence that there is a larger proportion of U.S. men who believe that there is intelligent life on other planets than U.S. women? Using a=0.05, write an appropriate conclusion in context.