6% 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 364 people from the inner city surveyed, 69 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01?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 ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton proportion is significantly larger than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 16%The data suggest the population proportion is not significantly larger than 16% 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 larger than 16%.The data suggest the population proportion is not significantly larger than 16% 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 16%.Interpret the p-value in the context of the study.There is a 6.2% chance that more than 16% of all inner city residents have sleep apnea.If the sample proportion of inner city residents who have sleep apnea is 19% and if another 364 inner city residents are surveyed then there would be a 6.2% chance of concluding that more than 16% of all inner city residents have sleep apnea. There is a 6.2% chance of a Type I error.If the population proportion of inner city residents who have sleep apnea is 16% and if another 364 inner city residents are surveyed then there would be a 6.2% chance that more than 19% of the 364 inner city residents surveyed have sleep apnea.Interpret the level of significance in the context of the study.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 larger than 16% and if another 364 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 16%.If the population proportion of inner city residents who have sleep apnea is 16% and if another 364 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 larger than 16%.There is a 1% chance that the proportion of all inner city residents who have sleep apnea is larger than 16%.

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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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6% 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 364 people from the inner city surveyed, 69 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01?

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 populaton proportion is significantly larger than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 16%
- The data suggest the population proportion is not significantly larger than 16% 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 larger than 16%.
- The data suggest the population proportion is not significantly larger than 16% 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 16%.
Interpret the p-value in the context of the study.
- There is a 6.2% chance that more than 16% of all inner city residents have sleep apnea.
- If the sample proportion of inner city residents who have sleep apnea is 19% and if another 364 inner city residents are surveyed then there would be a 6.2% chance of concluding that more than 16% of all inner city residents have sleep apnea.
- There is a 6.2% chance of a Type I error.
- If the population proportion of inner city residents who have sleep apnea is 16% and if another 364 inner city residents are surveyed then there would be a 6.2% chance that more than 19% of the 364 inner city residents surveyed have sleep apnea.
Interpret the level of significance in the context of the study.
- 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 larger than 16% and if another 364 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 16%.
- If the population proportion of inner city residents who have sleep apnea is 16% and if another 364 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 larger than 16%.
- There is a 1% chance that the proportion of all inner city residents who have sleep apnea is larger than 16%.

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