9% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 372 people from the inner city surveyed, 26 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? Round numerical answers to 3 decimal placesFor this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly smaller than 9% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 9%.The data suggest the population proportion is not significantly smaller than 9% at αα = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 9%.The data suggest the populaton proportion is significantly smaller than 9% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 9%Interpret the p-value in the context of the study.There is a 9% chance of a Type I errorThere is a 8.77% chance that fewer than 9% of all inner city residents have sleep apnea.If the sample proportion of inner city residents who have sleep apnea is 7% and if another 372 inner city residents are surveyed then there would be a 8.77% chance of concluding that fewer than 9% of inner city residents have sleep apnea.If the population proportion of inner city residents who have sleep apnea is 9% and if another 372 inner city residents are surveyed then there would be a 8.77% chance fewer than 7% of the 372 residents surveyed have sleep apnea.Interpret the level of significance in the context of the study.There is a 1% chance that the proportion of all inner city residents who have sleep apnea is smaller than 9%.If the population proportion of inner city residents who have sleep apnea is 9% and if another 372 inner city residents are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is smaller than 9%.There is a 1% 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 smaller than 9% and if another 372 inner city residents are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 9%.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 372 people from the inner city surveyed, 26 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? Round numerical answers to 3 decimal places

For this study, we should use
The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H₁: (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly smaller than 9% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 9%.
- The data suggest the population proportion is not significantly smaller than 9% at αα = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 9%.
- The data suggest the populaton proportion is significantly smaller than 9% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 9%
Interpret the p-value in the context of the study.
- There is a 9% chance of a Type I error
- There is a 8.77% chance that fewer than 9% of all inner city residents have sleep apnea.
- If the sample proportion of inner city residents who have sleep apnea is 7% and if another 372 inner city residents are surveyed then there would be a 8.77% chance of concluding that fewer than 9% of inner city residents have sleep apnea.
- If the population proportion of inner city residents who have sleep apnea is 9% and if another 372 inner city residents are surveyed then there would be a 8.77% chance fewer than 7% of the 372 residents surveyed have sleep apnea.
Interpret the level of significance in the context of the study.
- There is a 1% chance that the proportion of all inner city residents who have sleep apnea is smaller than 9%.
- If the population proportion of inner city residents who have sleep apnea is 9% and if another 372 inner city residents are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is smaller than 9%.
- There is a 1% 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 smaller than 9% and if another 372 inner city residents are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 9%.

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