15% of all Americans suffer from sleep apnea. A researchersuspects that a higher percentage of those who live in the innercity have sleep apnea. Of the 315 people from the inner citysurveyed, 63 of them suffered from sleep apnea. What can beconcluded at the level of significance of αα = 0.01? Roundnumerical answers to 3 decimal places

1. For this study, we should use Select an answer z-test for apopulation proportion t-test for a population mean
2. The null and alternative hypotheses would be:
   Ho: ? p μ  Select an answer < > =≠   (please enter a decimal)   
   H₁: ? μ p  Select an answer > ≠ =<   (Please enter a decimal)

1. The test statistic ? z t  =  (please showyour answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimalplaces.)
3. The p-value is ? ≤ >  αα
4. Based on this, we should Select an answer accept fail to rejectreject  the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the population proportion is notsignificantly larger than 15% at αα = 0.01, sothere is not sufficient evidence to conclude that the populationproportion of inner city residents who have sleep apnea is largerthan 15%.
   • The data suggest the population proportion is notsignificantly larger than 15% at αα = 0.01, sothere is sufficient evidence to conclude that the populationproportion of inner city residents who have sleep apnea is equal to15%.
   • The data suggest the populaton proportion issignificantly larger than 15% at αα = 0.01, sothere is sufficient evidence to conclude that the populationproportion of inner city residents who have sleep apnea is largerthan 15%
6. Interpret the p-value in the context of the study.
   • If the sample proportion of inner city residents who have sleepapnea is 20% and if another 315 inner city residents are surveyedthen there would be a 0.65% chance of concluding that more than 15%of all inner city residents have sleep apnea.
   • There is a 0.65% chance that more than 15% of all inner cityresidents have sleep apnea.
   • If the population proportion of inner city residents who havesleep apnea is 15% and if another 315 inner city residents aresurveyed then there would be a 0.65% chance that more than 20% ofthe 315 inner city residents surveyed have sleep apnea.
   • There is a 0.65% chance of a Type I error.
7. Interpret the level of significance in the context of thestudy.
   • There is a 1% chance that aliens have secretly taken over theearth and have cleverly disguised themselves as the presidents ofeach of the countries on earth.
   • If the population proportion of inner city residents who havesleep apnea is larger than 15% and if another 315 inner cityresidents are surveyed then there would be a 1% chance that wewould end up falsely concluding that the proportion of all innercity residents who have sleep apnea is equal to 15%.
   • There is a 1% chance that the proportion of all inner cityresidents who have sleep apnea is larger than 15%.
   • If the population proportion of inner city residents who havesleep apnea is 15% and if another 315 inner city residents aresurveyed then there would be a 1% chance that we would end upfalsely concluding that the proportion of all inner city residentswho have sleep apnea is larger than 15%.