According to a recent survey of 1400 people, 65% 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.) Please label each part Part (b)Which distribution should you use for this problem? (Round your answers to four decimal places.)P'-Explain your choice.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."The Student's t-distribution should be used because we do not know the standard deviation.The standard normal distribution should be used because we are interested in proportions and the sample size is large.The standard normal distribution should be used becausenpq 2 10, 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.(i) State the confidence interval. (Round your answers to four decimal places.)(ii) Sketch the graph.C.L. =22P'(iii) Calculate the error bound. (Round your answer to four decimal places.)II

X= number of people who feel the president is doing an acceptable job. P= proportion of the people…

Answered: According to a recent survey of 1400…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

According to a recent survey of 1400 people, 65% 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.)

Please label each part

Part (b)
Which distribution should you use for this problem? (Round your answers to four decimal places.)
P'-
Explain your choice.
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."
The Student's t-distribution should be used because we do not know the standard deviation.
The standard normal distribution should be used because we are interested in proportions and the sample size is large.
The standard normal distribution should be used because
npq 2 10, 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.
(i) State the confidence interval. (Round your answers to four decimal places.)
(ii) Sketch the graph.
C.L. =
2
2
P'
(iii) Calculate the error bound. (Round your answer to four decimal places.)
II

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

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