For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of 5380 permanent dwellings on an entire reservation showed that 1676 were traditional hogans. (a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answer to three decimal places.) lower limit       upper limit       Give a brief interpretation of the confidence interval. a) 99% of all confidence intervals would include the true proportion of traditional hogans. b) 1% of all confidence intervals would include the true proportion of traditional hogans.     c) 99% of the confidence intervals created using this method would include the true proportion of traditional hogans. d) 1% of the confidence intervals created using this method would include the true proportion of traditional hogans. (c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration. a) Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial. b) No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.     c) Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal. d) No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.

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

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

A random sample of 5380 permanent dwellings on an entire reservation showed that 1676 were traditional hogans.

(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.)


(b) Find a 99% confidence interval for p. (Round your answer to three decimal places.)
lower limit      
upper limit      

Give a brief interpretation of the confidence interval.
a) 99% of all confidence intervals would include the true proportion of traditional hogans.
b) 1% of all confidence intervals would include the true proportion of traditional hogans.    
c) 99% of the confidence intervals created using this method would include the true proportion of traditional hogans.
d) 1% of the confidence intervals created using this method would include the true proportion of traditional hogans.

(c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration.
a) Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial.
b) No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.    
c) Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal.
d) No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
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