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
icon
Related questions
Question

ANSWER F,G,H,I 

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 V
b. The null and alternative hypotheses would be:
Но:
0.14
(please enter a decimal)
H1: P
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 V the 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 f 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.
There is a 14% chance of a Type I error
i. Interpret the level of significance in the context of the study.
O 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.
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% chance that we would end up
falsely concluding that the proportion of all inner city residents who have sleep apnea is
smaller than 14%.
O If the population proportion of inner city residents who have sleep apnea is smaller than 14%
and if another 341 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 14%.
O There is a 1% chance that the proportion of all inner city residents who have sleep apnea is
smaller than 14%.
Transcribed Image Text: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 V b. The null and alternative hypotheses would be: Но: 0.14 (please enter a decimal) H1: P 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 V the 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 f 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. There is a 14% chance of a Type I error i. Interpret the level of significance in the context of the study. O 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. 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% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is smaller than 14%. O If the population proportion of inner city residents who have sleep apnea is smaller than 14% and if another 341 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 14%. O There is a 1% chance that the proportion of all inner city residents who have sleep apnea is smaller than 14%.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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