Find the probability that in a random sample of 349 Floridians, between 18.6% and 27.4% have earned a bachelor's degree. P(0.186 < p < 0.274)

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
#21 I just need help with part B for this question please. I circled it in red, thank you
According to the U.S. Census Bureau, 25.1% of Floridians have earned a bachelor’s degree. Let \( \hat{p} \) be the proportion of people that have earned a bachelor’s degree in a random sample of 349 Floridians. Determine the following probabilities. Round solutions to four decimal places, if necessary:

- Find the probability that in a random sample of 349 Floridians, greater than 28.9% have earned a bachelor’s degree.  
  \[
  P(\hat{p} > 0.289) = \text{[calculation needed]}
  \]

- Find the probability that in a random sample of 349 Floridians, between 18.6% and 27.4% have earned a bachelor’s degree.  
  \[
  P(0.186 \leq \hat{p} \leq 0.274) = \text{[calculation needed]}
  \]
Transcribed Image Text:According to the U.S. Census Bureau, 25.1% of Floridians have earned a bachelor’s degree. Let \( \hat{p} \) be the proportion of people that have earned a bachelor’s degree in a random sample of 349 Floridians. Determine the following probabilities. Round solutions to four decimal places, if necessary: - Find the probability that in a random sample of 349 Floridians, greater than 28.9% have earned a bachelor’s degree. \[ P(\hat{p} > 0.289) = \text{[calculation needed]} \] - Find the probability that in a random sample of 349 Floridians, between 18.6% and 27.4% have earned a bachelor’s degree. \[ P(0.186 \leq \hat{p} \leq 0.274) = \text{[calculation needed]} \]
Expert Solution
Step 1

Given n=349p=0.251

steps

Step by step

Solved in 2 steps

Blurred answer
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