Private Four-Year Colleges From the data in CollegeScores4yr we know that about 62% of four-year colleges in the US are private institutions. Suppose that we select samples of n = 75 schools at a time from the population of all four-year colleges and find the proportion of private schools in each sample. (a) Consider the distribution of these sample proportions when n = 75 and p = 0.62. What is its form? Center = i Standard error = i (round to three decimal places) (b) What proportion of these samples will have less than 50% private schools? Round to three decimal places.
Private Four-Year Colleges From the data in CollegeScores4yr we know that about 62% of four-year colleges in the US are private institutions. Suppose that we select samples of n = 75 schools at a time from the population of all four-year colleges and find the proportion of private schools in each sample. (a) Consider the distribution of these sample proportions when n = 75 and p = 0.62. What is its form? Center = i Standard error = i (round to three decimal places) (b) What proportion of these samples will have less than 50% private schools? Round to three 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
Related questions
Question

Transcribed Image Text:Private Four-Year Colleges From the data in CollegeScores4yr we know that about 62% of four-year colleges in the US are private
institutions. Suppose that we select samples of n = 75 schools at a time from the population of all four-year colleges and find the
proportion of private schools in each sample.
(a) Consider the distribution of these sample proportions when n = 75 and p = 0.62.
What is its form?
Center = i
Standard error =
(round to three decimal places)
(b) What proportion of these samples will have less than 50% private schools? Round to three decimal places.
i

Transcribed Image Text:Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point
estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample.
A 90% confidence interval for p given that p = 0.7 and n = 120.
Round your answer for the point estimate to two decimal places, and your answers for the margin of error and the confidence interval
to three decimal places.
Point estimate =
Margin of error = + i
The 90% confidence interval is i
to
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman