steep aphea. live in the inner city have sleep apnea. Of the 317 people from the inner city surveyed, 29 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 b. The null and altemative hypotheses would be: Но: 0.11 (please enter a decimal) (Please enter a decimal) 0.11 c. The test statistic zv = -1.054 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = 0.1400 e. The p-value is (2 v a f. Based on this, we should fail to reject g. Thus, the final conclusion is that .. O The data suggest the populaton proportion is significantly smaller than 11% at a = 0.05, so v the null hypothesis. there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 11% O The data suggest the population proportion is not significantly smaller than 11% 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 11%. O The data suggest the population proportion is not significantly smaller than 11% 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 smaller than 11%. h. Interpret the p-value in the context of the study. There is a 11% chance of a Type I error Olf the sample proportion of inner city residents who have sleep apnea is 9% and if another 317 inner city residents are surveyed then there would be a 14.6% chance of concluding that fewer than 11% of inner city residents have sleep apnea. O There is a 14.6% chance that fewer than 11% of all inner city residents have sleep apnea. Olf the population proportion of inner city residents who have sleep apnea is 11% and if another 317 inner city residents are surveyed then there would be a 14.6% chance fewer than 9% of the 317 residents surveyed have sleep apnea. i. Interpret the level of significance in the context of the study. Olf the population proportion of inner city residents who have sleep apnea is smaller than 11% and if another 317 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 11%. O There is a 5% chance that the proportion of all inner city residents who have sleep apnea is smaller than 11%. 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. Oif the population proportion of inner city residents who have sleep apnea is 11% and if another 317 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 smaller than 11%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

can you please answer: G,H, I

11% 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 317 people from the inner city surveyed, 29 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
b. The null and altemative hypotheses would be:
Ho: p
0.11
(please enter a decimal)
H;: p
0.11
(Please enter a decimal)
c. The test statistic z v=
-1.054
(please show your answer to 3 decimal places.)
d. The p-value = 0.1460
e. The p-value is >va
f. Based on this, we should fail to reject
g. Thus, the final conclusion is that ..
(Please show your answer to 4 decimal places.)
the null hypothesis.
The data suggest the populaton proportion is significantly smaller than 11% at a = 0.05, so
there is sufficient evidence to conclude that the population proportion of inner city residents
who have sleep apnea is smaller than 11%
O The data suggest the population proportion is not significantly smaller than 11% 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 11%.
O The data suggest the population proportion is not significantly smaller than 11% 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 smaller than 11%.
h. Interpret the p-value in the context of the study.
O There is a 11% chance of a Type l error
O f the sample proportion of inner city residents who have sleep apnea is 9% and if another 317
inner city residents are surveyed then there would be a 14.6% chance of concluding that fewer
than 11% of inner city residents have sleep apnea.
O There is a 14.6% chance that fewer than 11% of all inner city residents have sleep apnea.
Olf the population proportion of inner city residents who have sleep apnea is 11% and if another
317 inner city residents are surveyed then there would be a 14.6% chance fewer than 9% of the
317 residents surveyed have sleep apnea.
i. Interpret the level of significance in the context of the study.
O f the population proportion of inner city residents who have sleep apnea is smaller than 11%
and if another 317 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 11%.
O There is a 5% chance that the proportion of all inner city residents who have sleep apnea is
smaller than 11%.
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 f the population proportion of inner city residents who have sleep apnea is 11% and if another
317 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
smaller than 11%.
Transcribed Image Text:11% 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 317 people from the inner city surveyed, 29 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 b. The null and altemative hypotheses would be: Ho: p 0.11 (please enter a decimal) H;: p 0.11 (Please enter a decimal) c. The test statistic z v= -1.054 (please show your answer to 3 decimal places.) d. The p-value = 0.1460 e. The p-value is >va f. Based on this, we should fail to reject g. Thus, the final conclusion is that .. (Please show your answer to 4 decimal places.) the null hypothesis. The data suggest the populaton proportion is significantly smaller than 11% at a = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than 11% O The data suggest the population proportion is not significantly smaller than 11% 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 11%. O The data suggest the population proportion is not significantly smaller than 11% 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 smaller than 11%. h. Interpret the p-value in the context of the study. O There is a 11% chance of a Type l error O f the sample proportion of inner city residents who have sleep apnea is 9% and if another 317 inner city residents are surveyed then there would be a 14.6% chance of concluding that fewer than 11% of inner city residents have sleep apnea. O There is a 14.6% chance that fewer than 11% of all inner city residents have sleep apnea. Olf the population proportion of inner city residents who have sleep apnea is 11% and if another 317 inner city residents are surveyed then there would be a 14.6% chance fewer than 9% of the 317 residents surveyed have sleep apnea. i. Interpret the level of significance in the context of the study. O f the population proportion of inner city residents who have sleep apnea is smaller than 11% and if another 317 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 11%. O There is a 5% chance that the proportion of all inner city residents who have sleep apnea is smaller than 11%. 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 f the population proportion of inner city residents who have sleep apnea is 11% and if another 317 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 smaller than 11%.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman