12% 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 373 people from the inner city surveyed, 48 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: Но: р V 0.12 (please enter a decimal) H1: p v> 0.12 (Please enter a decimal) c. The test statistic z v = 0.516 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a 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 12% 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 12%. O The data suggest the populaton proportion is significantly larger than 12% 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 12% O The data suggest the population proportion is not significantly larger than 12% 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 12%. h. Interpret the p-value in the context of the study. O There is a 30.28% chance that more than 12% of all inner city residents have sleep apnea. O If the sample proportion of inner city residents who have sleep apnea is 13% and if another 373 inner city residents are surveyed then there would be a 30.28% chance of concluding that more than 12% of all inner city residents have sleep apnea. O There is a 30.28% chance of a Type I error. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 373 inner city residents are surveyed then there would be a 30.28% chance that more than 13% of the 373 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 larger than 12% and if another 373 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 12%. O 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 There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 12%. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 373 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 12%.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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12% 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 373 people from the inner city surveyed, 48 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:
Но:
0.12
(please enter a decimal)
3D
H1: p v
0.12
(Please enter a decimal)
>
c. The test statistic z v
0.516
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? v a
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 12% 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 12%.
O The data suggest the populaton proportion is significantly larger than 12% 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 12%
O The data suggest the population proportion is not significantly larger than 12% 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 12%.
h. Interpret the p-value in the context of the study.
O There is a 30.28% chance that more than 12% of all inner city residents have sleep apnea.
O If the sample proportion of inner city residents who have sleep apnea is 13% and if another 373
inner city residents are surveyed then there would be a 30.28% chance of concluding that more
than 12% of all inner city residents have sleep apnea.
O There is a 30.28% chance of a Type I error.
O If the population proportion of inner city residents who have sleep apnea is 12% and if another
373 inner city residents are surveyed then there would be a 30.28% chance that more than 13%
of the 373 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 larger than 12%
and if another 373 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 12%.
O 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 There is a 5% chance that the proportion of all inner city residents who have sleep apnea is
larger than 12%.
O If the population proportion of inner city residents who have sleep apnea is 12% and if another
373 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 12%.
Transcribed Image Text:12% 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 373 people from the inner city surveyed, 48 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: Но: 0.12 (please enter a decimal) 3D H1: p v 0.12 (Please enter a decimal) > c. The test statistic z v 0.516 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a 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 12% 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 12%. O The data suggest the populaton proportion is significantly larger than 12% 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 12% O The data suggest the population proportion is not significantly larger than 12% 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 12%. h. Interpret the p-value in the context of the study. O There is a 30.28% chance that more than 12% of all inner city residents have sleep apnea. O If the sample proportion of inner city residents who have sleep apnea is 13% and if another 373 inner city residents are surveyed then there would be a 30.28% chance of concluding that more than 12% of all inner city residents have sleep apnea. O There is a 30.28% chance of a Type I error. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 373 inner city residents are surveyed then there would be a 30.28% chance that more than 13% of the 373 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 larger than 12% and if another 373 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 12%. O 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 There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 12%. O If the population proportion of inner city residents who have sleep apnea is 12% and if another 373 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 12%.
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