10% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 313 people from the inner city surveyed, 16 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 Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? μ p Select an answer < ≠ = > (please enter a decimal) H1: ? μ p Select an answer = ≠ > < (Please enter a decimal)The test statistic ? t z = (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 Select an answer accept reject fail to reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly different from 10% 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 different from 10%.The data suggest the populaton proportion is significantly different from 10% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 10%The data suggest the population proportion is not significantly different from 10% 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 10%.Interpret the p-value in the context of the study.If the sample proportion of inner city residents who have sleep apnea is 5% and if another 313 inner city residents are surveyed then there would be a 0.4% chance that we would conclude either fewer than 10% of all inner city residents have sleep apnea or more than 10% of all inner city residents have sleep apnea.There is a 0.4% chance of a Type I error.There is a 0.4% chance that the percent of all inner city residents have sleep apnea differs from 10%.If the population proportion of inner city residents who have sleep apnea is 10% and if another 313 inner city residents are surveyed then there would be a 0.4% chance that either fewer than 5% of the 313 inner city residents surveyed have sleep apnea or more than 15% of the 313 inner city residents 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 different from 10% and if another 313 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 10%.There is a 1% chance that the proportion of all inner city residents who have sleep apnea is different from 10%.If the population proportion of inner city residents who have sleep apnea is 10% and if another 313 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 different from 10%.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.

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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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10% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 313 people from the inner city surveyed, 16 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 Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:
Ho: ? μ p Select an answer < ≠ = > (please enter a decimal)
H₁: ? μ p Select an answer = ≠ > < (Please enter a decimal)

The test statistic ? t z = (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 Select an answer accept reject fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly different from 10% 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 different from 10%.
- The data suggest the populaton proportion is significantly different from 10% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 10%
- The data suggest the population proportion is not significantly different from 10% 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 10%.
Interpret the p-value in the context of the study.
- If the sample proportion of inner city residents who have sleep apnea is 5% and if another 313 inner city residents are surveyed then there would be a 0.4% chance that we would conclude either fewer than 10% of all inner city residents have sleep apnea or more than 10% of all inner city residents have sleep apnea.
- There is a 0.4% chance of a Type I error.
- There is a 0.4% chance that the percent of all inner city residents have sleep apnea differs from 10%.
- If the population proportion of inner city residents who have sleep apnea is 10% and if another 313 inner city residents are surveyed then there would be a 0.4% chance that either fewer than 5% of the 313 inner city residents surveyed have sleep apnea or more than 15% of the 313 inner city residents 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 different from 10% and if another 313 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 10%.
- There is a 1% chance that the proportion of all inner city residents who have sleep apnea is different from 10%.
- If the population proportion of inner city residents who have sleep apnea is 10% and if another 313 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 different from 10%.
- 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.

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