10% 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. Of the 316 people from the inner city surveyed, 22 of them suffered from sleep apnea. What can be concluded at the level of significance of or = 0.05? Round numerical answers to 3 decimal places a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H1: ? ~ Select an answer v (Please enter a decimal) c. The test statistic ? - (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should |Select an answer v | the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 10% at a = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 10%. The data suggest the populaton proportion is significantly different from 10% at a = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 10% The data suggest the population proportion is not significantly different from 10% at a = 0.05, ine so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 10%. h. Interpret the p-value in the context of the study. There is a 7.18% chance of a Type | error. There is a 7.18% chance that the percent of all inner city residents have sleep apnea differs from 10%. If the sample proportion of inner city residents who have sleep apnea is 7% and if another 316 inner city residents are surveyed then there would be a 7.18% chance that we would conclude either fewer than 10% of all inner city residents have sleep apnea or more than 10% of all inner city residents have sleep apnea. O If the population proportion of inner city residents who have sleep apnea is 10% and if another 316 inner city residents are surveyed then there would be a 7.18% chance that either fewer than 7% of the 316 inner city residents surveyed have sleep apnea or more than 13% of the 316 inner city residents have sleep apnea. i. Interpret the level of significance in the context of the study. If the population proportion of inner city residents who have sleep apnea is 10% and if another 316 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is different from 10%. If the population proportion of inner city residents who have sleep apnea is different from 10% and if another 316 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 10%. There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. There is a 5% chance that the proportion of all inner city residents who have sleep apnea is different from 10%
