8% 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 367 people from the inner city surveyed, 37 of...

8% 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 367 people from the inner city surveyed, 37 of them suffered from sleep apnea. What can be concluded at the level of significance of α = 0.05?

1. For this study, we should use


2. The null and alternative hypotheses would be:
    Ho:            (please enter a decimal)
    H₁:            (Please enter a decimal)

1. The test statistic     =  (please show your answer to 3 decimal places.)


2. The p-value =  (Please show your answer to 4 decimal places.)


3. The p-value is     α


4. Based on this, we should      the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the population proportion is notsignificantly
     larger than 8% at α = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 8%.
   
   
   • The data suggest the population proportion is notsignificantly
     larger than 8% at α = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 8%.
   
   
   • The data suggest the populaton proportion issignificantly
     larger than 8% at α = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 8%
   
   

   
   
   
   


6. Interpret the p-value in the context of the study.
   
   
   

   
   
   • If the sample proportion of inner city residents who have sleep apnea is 10% and if another 367 inner city residents are surveyed then there would be a 7.08% chance of concluding that more than 8% of all inner city residents have sleep apnea.
   
   
   •  There is a 7.08% chance of a Type I error.
   
   
   • There is a 7.08% chance that more than 8% of all inner city residents have sleep apnea.
   
   
   • If the population proportion of inner city residents who have sleep apnea is 8% and if another 367 inner city residents are surveyed then there would be a 7.08% chance that more than 10% of the 367 inner city residents surveyed have sleep apnea.
   
   

   
   
   
   


7. Interpret the level of significance in the context of the study.
   
   
   

   
   
   • If the population proportion of inner city residents who have sleep apnea is 8% and if another 367 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 larger than 8%.
   
   
   • 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.
   
   
   • If the population proportion of inner city residents who have sleep apnea is larger than 8% and if another 367 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 8%.
   
   
   • There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 8%.
   
   

   
   
   
   

Extracted text: 8% 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 367 people from the inner city surveyed, 37 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.05? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: p v Select an answer ♥ (please enter a decimal) H1:p v| Select an answer (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) %3D e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly larger than 8% at a = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 8%. O The data suggest the population proportion is not significantly larger than 8% 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 larger than 8%. %3D The data suggest the populaton proportion is significantly larger than 8% at a = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 8% 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 10% and if another 367 inner city residents are surveyed then there would be a 7.08% chance of concluding that more than 8% of all inner city residents have sleep apnea. There is a 7.08% chance of a Type I error. There is a 7.08% chance that more than 8% of all inner city residents have sleep apnea. O If the population proportion of inner city residents who have sleep apnea is 8% and if another 367 inner city residents are surveyed then there would be a 7.08% chance that more than 10% of the 367 inner city residents surveyed 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 8% and if another 367 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 larger than 8%. 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. O If the population proportion of inner city residents who have sleep apnea is larger than 8% and if another 367 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 8%. O There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 8%.