A poll done for an organization found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its OWn survey. Out of 72 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the organization's poll? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's tdistribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must rst prove that assumption, though.) E] Parl(a) State the null hypothesis. A H0: p i 0.13 0 H0: p 2 0.13 A H0: p S 0.13 A H0: p > 0.13 E] Part (b) State the alternative hypothesis. A a: p at 0.13 A Ha: p 0.13 In words, state what your random variable P' represents. A P' represents the proportion of Americans who have not seen or sensed angels. A P' represents the proportion of Americans who have seen or sensed angels. A P' represents the number of Americans who have seen or sensed angels. A P' represents the ratio of Americans who have seen or sensed angels to those who haven't. State the distribution to use for the test. (Enter your answer in the form z or towhere f is the degrees of freedom.) Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) ---Select--- C Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the sample ratio is 2 out of 72 or less. If Ho is true, then there is a chance equal to the p-value that the sample ratio is not 2 out of 72 or more. If Ho is true, then there is a chance equal to the p-value that the sample ratio is 2 out of 72 or less. If Ho is false, then there is a chance equal to the p-value that the sample ratio is not 2 out of 72 or more