Question

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 600 people from the inner city surveyed, 81 of them suffered from sleep apnea. What can be concluded at the 0.05 level of significance?

H₀: p = 0.12

H_a: p    [">", "Not Equal To", "<"] 0.12

p-Value = ["0.12", "0.13", "0.125", "0.135"]      

["Reject Ho", "Fail to Reject Ho"]      

Conclusion: There is ["statistically significant", "insufficient"] evidence to make the conclusion that the population proportion of inner city residents who have sleep apnea is greater than 0.12.

p-Value Interpretation: If the proportion of inner city residents who suffer from sleep apnea is equal to ["0.13", "0.135", "0.05", "0.12"] and if another study was done with a new randomly selected collection of 600 inner city residents, then there is a ["13", "13.5", "12", "5"] percent chance that the proportion who suffer from sleep apnea for this new sample would be greater than ["0.12", "0.135", "0.13", "0.05"]         .

Level of significance interpretation: If the proportion of inner city residents who suffer from sleep apnea is equal to ["0.12", "0.05", "0.13", "0.135"] and if many studies are done each with a new randomly selected collection of 600 inner city residents then  ["12", "5", "13", "13.5"] percent of these studies would result in the false conclusion that the proportion of inner city residents who suffer from sleep apnea is greater than 0.12.

Answer 1