n a certain state the proportion of families living below the poverty level is 21 %. For samples of n = 750 randomly selected families, what is the probability that the sample proportion of families that live below the poverty level is within ±0.03 from the population proportion? z=  (p-π)/√(π(1-π)/n) I got an answer of 0.9566. I am not sure if it's right. Can the problem be worked out so I can better understand it?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
icon
Related questions
Question
100%

In a certain state the proportion of families living below the poverty level is 21 %. For samples of n = 750 randomly selected families, what is the probability that the sample proportion of families that live below the poverty level is within ±0.03 from the population proportion?

z=  (p-π)/√(π(1-π)/n)

I got an answer of 0.9566. I am not sure if it's right. Can the problem be worked out so I can better understand it? 

Expert Solution
Step 1

Solution:

Given information

n= 750 Sample size 

p= 0.21 Population proportion 

q= 1-p = 0.79

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning