A survey was taken of randomly selected Americans, age 65 and older, which found that 420 of 1002 men and 543 of 1068 women suffered from some form of arthritis. a) Are the assumptions and conditions necessary for inference satisfied? Explain. b) Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease. c) Interpret your interval in this context. d) Does this suggest that arthritis is more likely to afflict women than men? Explain.

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

Need help with problems B-D

A survey was taken of randomly selected Americans, age 65 and older, which found that 420 of 1002 men and 543 of 1068 women suffered from some form of arthritis.
a) Are the assumptions and conditions necessary for inference satisfied? Explain.
b) Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease.
c) Interpret your interval in this context.
d) Does this suggest that arthritis is more likely to afflict women than men? Explain.
Transcribed Image Text:A survey was taken of randomly selected Americans, age 65 and older, which found that 420 of 1002 men and 543 of 1068 women suffered from some form of arthritis. a) Are the assumptions and conditions necessary for inference satisfied? Explain. b) Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease. c) Interpret your interval in this context. d) Does this suggest that arthritis is more likely to afflict women than men? Explain.
b) Let p, be the sample proportion of senior women suffering from some form of arthritis, and let p, be the sample proportion of senior men suffering from some form of arthritis. Create a 95% confidence interval for the difference in
the proportions of senior men and women who have this disease, p, - p2.
The confidence interval is ( D).
(Round to three decimal places as needed.)
%
c) There is 95% confidence, based on these samples, that the proportion of American women, age 65 and older, who suffer from arthritis is between % and
than the proportion of American men of the same age who
suffer from arthritis.
(Round to one decimal place as needed.)
d) Does this suggest that arthritis is more likely to afflict women than men? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
A. No, the interval is too close to 0.
B. No, a conclusion cannot be made based on the confidence interval.
O C. Yes, the entire interval lies above 0.
D. Yes, there is 95% confidence, based on these samples, that about
% of senior women suffer from arthritis, while only
% of senior men suffer from arthritis.
(Round to one decimal place as needed.)
Transcribed Image Text:b) Let p, be the sample proportion of senior women suffering from some form of arthritis, and let p, be the sample proportion of senior men suffering from some form of arthritis. Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease, p, - p2. The confidence interval is ( D). (Round to three decimal places as needed.) % c) There is 95% confidence, based on these samples, that the proportion of American women, age 65 and older, who suffer from arthritis is between % and than the proportion of American men of the same age who suffer from arthritis. (Round to one decimal place as needed.) d) Does this suggest that arthritis is more likely to afflict women than men? Select the correct answer below and, if necessary, fill in the answer boxes within your choice. A. No, the interval is too close to 0. B. No, a conclusion cannot be made based on the confidence interval. O C. Yes, the entire interval lies above 0. D. Yes, there is 95% confidence, based on these samples, that about % of senior women suffer from arthritis, while only % of senior men suffer from arthritis. (Round to one decimal place as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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