2. The body mass index (BMI) of an individual is one measure that is used to judge whether an individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Let population 1 be the men; population 2 be the women. (a) Construct a 90% confidence interval for the difference between the proportion of men proportion of women who are normal weight. (b) Interpret the interval in the form of a test of hypothesis with Ho: p1 = P2- (a) Compute p,^ and p;^. X1 x2 P:^ = ;P²^= Conditions Required: The samples are obtained independently using simple random sampling. LET's ASSUME YES. n;p;^(1-p;^) =. n2p2^(1– p2^) =. Can you deduce that each sample size is less than 5% of its population size? Why? Is this 2 10? Is this 2 10? USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (B): “2-PropZlnt" Display: ( (b) Interpretation: Because this interval DOES /DOES NOT contain 0, we might conclude that there IS / IS NOT a difference in the proportion of men and women who are of normal weight. That is, we REJECT / DO NOT REJECT Họ: P1 = pP2-

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
2. The body mass index (BMI) of an individual is one measure that is used to judge whether an
individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal
weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men
and 270 women were normal weight. Let population 1 be the men; population 2 be the
women.
(a) Construct a 90% confidence interval for the difference between the proportion of men
proportion of women who are normal weight.
(b) Interpret the interval in the form of a test of hypothesis with Ho: P1 = P2.
(a)
Compute p,^ and p;^.
X1
X2
P1^ =
n1
¿p^ =
%3D
n2
Conditions Required:
The samples are obtained independently using simple random sampling. LET's
ASSUME YES.
n;p¿^(1-p;^) =,
n¿p2^(1 – P2^) =
Can you deduce that each sample size is less than 5% of its population size? Why?
Is this 2 10?
Is this 2 10?
USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE
STAT > TESTS
Choose (B): “2-PropZInt"
Display: (
(b)
Interpretation:
Because this interval DOES/DOES NOT contain 0, we might conclude that there IS / IS NOT a
difference in the proportion of men and women who are of normal weight. That is, we REJECT
/ DO NOT REJECT Ho: P1 = p2-
Transcribed Image Text:2. The body mass index (BMI) of an individual is one measure that is used to judge whether an individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Let population 1 be the men; population 2 be the women. (a) Construct a 90% confidence interval for the difference between the proportion of men proportion of women who are normal weight. (b) Interpret the interval in the form of a test of hypothesis with Ho: P1 = P2. (a) Compute p,^ and p;^. X1 X2 P1^ = n1 ¿p^ = %3D n2 Conditions Required: The samples are obtained independently using simple random sampling. LET's ASSUME YES. n;p¿^(1-p;^) =, n¿p2^(1 – P2^) = Can you deduce that each sample size is less than 5% of its population size? Why? Is this 2 10? Is this 2 10? USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (B): “2-PropZInt" Display: ( (b) Interpretation: Because this interval DOES/DOES NOT contain 0, we might conclude that there IS / IS NOT a difference in the proportion of men and women who are of normal weight. That is, we REJECT / DO NOT REJECT Ho: P1 = p2-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Similar questions
  • SEE MORE QUESTIONS
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