15% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. 0f the 378 people from the inner city surveyed, 72 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use l Select an answer v | b. The null and alternative hypotheses would be: He: [:l (please enter a deg-man H1: [:] Please enter a decimal) c. The test statistic = S (please show your answer to 3 decimal places.) d. The pvalue = :J (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population proportion is not significantly different from 15% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 15%. O The data suggest the populaton proportion is significantly different from 15% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 15% O The data suggest the population proportion is not significantly different from 15% at a = 0.10, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 15%. h. Interpret the p-value in the context of the study. 0 There is a 2.76% chance that the percent of all inner city residents who have sleep apnea differs from 15%. Q If the population proportion of inner city residents who have sleep apnea is 15% and if another 378 inner city residents are surveyed then there would be a 2.76% chance that either more than 19% of the 378 inner city residents have sleep apnea or fewer than 11% of the 378 inner city residents have sleep apnea. Q There is a 2.76% chance of a Type I error. 0 If the sample proportion of inner city residents who have sleep apnea is 19% and if another 373 inner city residents are surveyed then there would be a 2.76% chance that we would conclude either fewer than 15% of all inner city residents have sleep apnea or more than 15% of all inner city residents have sleep apnea. i. Interpret the level of significance in the context of the study. 0 If the population proportion of inner city residents who have sleep apnea is different from 15% and if another 378 inner city residents are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 15%. 0 There is a 10% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. 0 If the population proportion of inner city residents who have sleep apnea is 15% and if another 378 inner city residents are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is different from 15%. Q There is a 10% chance that the proportion of all inner city residents who have sleep apnea is different from 15%
