14% 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 341 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use z-test for a population proportion ▼ b. The null and alternative hypotheses would be: V0.14 Ho: p V (please enter a decimal) H1: 0.14 (Please enter a decimal) c. The test statistic -2.144 (please show your answer to 3 decimal places.) d. The p-value = 2.144 X (Please show your answer to 4 decimal places.) o 0.0160 e. The p-value is ? Va f. Based on this, we should Select an answer Vthe null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly smaller than 14% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 14%. O The data suggest the populaton proportion is significantly smaller than 14% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 14% O The data suggest the population proportion is not significantly smaller than 14% at a = 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 14%. h. Interpret the p-value in the context of the study. O There is a 1.6% chance that fewer than 14% of all inner city residents have sleep apnea. O If the population proportion of inner city residents who have sleep apnea is 14% and if another 341 inner city residents are surveyed then there would be a 1.6% chance fewer than 10% of the 341 residents surveyed have sleep apnea. O If the sample proportion of inner city residents who have sleep apnea is 10% and if another 341 inner city residents are surveyed then there would be a 1.6% chance of concluding that fewer than 14% of inner city residents have sleep apnea. O There is a 14% chance of a Type I error
14% 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 341 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use z-test for a population proportion ▼ b. The null and alternative hypotheses would be: V0.14 Ho: p V (please enter a decimal) H1: 0.14 (Please enter a decimal) c. The test statistic -2.144 (please show your answer to 3 decimal places.) d. The p-value = 2.144 X (Please show your answer to 4 decimal places.) o 0.0160 e. The p-value is ? Va f. Based on this, we should Select an answer Vthe null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly smaller than 14% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 14%. O The data suggest the populaton proportion is significantly smaller than 14% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 14% O The data suggest the population proportion is not significantly smaller than 14% at a = 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 14%. h. Interpret the p-value in the context of the study. O There is a 1.6% chance that fewer than 14% of all inner city residents have sleep apnea. O If the population proportion of inner city residents who have sleep apnea is 14% and if another 341 inner city residents are surveyed then there would be a 1.6% chance fewer than 10% of the 341 residents surveyed have sleep apnea. O If the sample proportion of inner city residents who have sleep apnea is 10% and if another 341 inner city residents are surveyed then there would be a 1.6% chance of concluding that fewer than 14% of inner city residents have sleep apnea. O There is a 14% chance of a Type I error
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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