According to a recent survey of 1700 people, 63% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) Explain your choice. O The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job." O The Student's t-distribution should be used because we do not know the standard deviation. O The standard normal distribution should be used because we are interested in proportions and the sample size is large. O The standard nomal distribution should be used because v which implies a large sample. Correct We use the standard normal distribution to create confidence intervals about the population proportion. Part (c) Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job. ) State the confidence interval. (Round your answers to four decimal places.) (H) Sketch the graph. CL -O P" (i) Calculate the error bound. (Round your answer to four decimal places.)

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
100%

please include all steps. thank you.

According to a recent survey of 1700 people, 63% feel that the president is
doing an acceptable job. We are interested in the population proportion of
people who feel the president is doing an acceptable job.
NOTE: If you are using a Student's t-distribution, you may assume that the
underlying population is normally distributed. (In general, you must first prove
that assumption, though.)
Part (a)
OPart (b)
Which distribution should you use for this problem? (Round your answers to four decimal
places.)
-O(C
Explain your choice.
O The binomial distribution should be used because the two outcomes are "the
president is doing a good job" and "the president is not doing a good job."
O The Student's t-distribution should be used because we do not know the standard
deviation.
O The standard normal distribution should be used because we are interested in
proportions and the sample size is large.
O The standard normal distribution should be used because ve which implies a
large sample.
Correct! We use the standard normal distribution to create confidence intervals about the
population proportion.
Part (c)
Construct a 90% confidence interval for the population proportion of peopie who feel the
president is doing an acceptable job.
() State the confidence interval. (Round your answers to four decimal places.)
(i) Sketch the graph.
CL. =
P'
(iii) Calculate the error bound. (Round your answer to four decimal places.)
Transcribed Image Text:According to a recent survey of 1700 people, 63% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) OPart (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) -O(C Explain your choice. O The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job." O The Student's t-distribution should be used because we do not know the standard deviation. O The standard normal distribution should be used because we are interested in proportions and the sample size is large. O The standard normal distribution should be used because ve which implies a large sample. Correct! We use the standard normal distribution to create confidence intervals about the population proportion. Part (c) Construct a 90% confidence interval for the population proportion of peopie who feel the president is doing an acceptable job. () State the confidence interval. (Round your answers to four decimal places.) (i) Sketch the graph. CL. = P' (iii) Calculate the error bound. (Round your answer to four decimal places.)
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
Pythagoras' Theorem
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