Question

Exercise 2 Apoll done for Newsweek 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 76 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 Newsweek poll? Use a 1% percent level of significance to test the daim of the contingent. a) State the parameter being tested: State the hypotheses and identify the claim: b) Identify the test statistic: d State the statistical test to be used: d) Calculate the p-value: el interpret the p-value and compare to a 1) Make a decision regarding Ho State the conclusion

Answer 1

Given n: 76 ; X = 2 2 . 0.03 ca) Parameter being tested: sensed the presence of an Americans have seen or angel Ho: Þ -0.13 ; HA: Þ< 0.13 (b) Test statistic, Ô - p bll-b) Jn 0.03 -0.13 0.13 X0.87 5 76 0:04 z = -2.5 (c) Statistical test we used is one sample 2- test for proportion ca) p-value = P(Z <-2.5 = 0.0062 (from za table (e) p-value La (f) We reject the null hypothesis cal There is sufficient evidence to conclude that the percentage is really that high,