12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the in
Posted: Mon Apr 11, 2022 6:22 am
12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 315 people from the inner city surveyed, 41 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 z test for a population proportion b. The null and alternative hypotheses would be: Ho: pv 0.12 (please enter a decimal) HipvF 0.12 (Please enter a decimal) c. The test statistic Zv= (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 populaton proportion is significantly larger than 12% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12% The data suggest the population proportion is not significantly larger than 12% 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 12%. The data suggest the population proportion is not significantly larger than 12% 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 larger than 12%. h. Interpret the p-value in the context of the study. O If the sample proportion of inner city residents who have sleep apnea is 13% and if another 315 inner city residents are surveyed then there would be a 28.95% chance of concluding that more than 12% of all inner city residents have sleep apnea. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 315 inner city residents are surveyed then there would be a 28.95% chance that more than 13% of the 315 inner city residents surveyed have sleep apnea. There is a 28.95% chance of a Type I error. O There is a 28.95% chance that more than 12% of all inner city residents have sleep apnea. i. Interpret the level of significance in the context of the study. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 315 inner city residents are surveyed then there would be a 10% chance that we would end up w