A market research firm conducts telephone surveys with a 43% historical response rate. a. What is the probability that in a new sample of 400 telephone numbers, at least 160 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 160/400 = 0.4? Calculate the standard error to 4 decimals.   Calculate the probability to 4 decimals, showing your steps along the way. P( ≥  ) = P(z ≥  ) =   b. If a follow-up study was completed a year later with only 64 telephone numbers, what is the probability that the response rate was between 41% and 45%? Calculate the standard error to 4 decimals.   Calculate the probability to 4 decimals, showing your steps along the way.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Topic Video
Question

A market research firm conducts telephone surveys with a 43% historical response rate.

a. What is the probability that in a new sample of 400 telephone numbers, at least 160 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 160/400 = 0.4?

Calculate the standard error to 4 decimals.  
Calculate the probability to 4 decimals, showing your steps along the way.
P( ≥  ) = P(z ≥  ) =  

b. If a follow-up study was completed a year later with only 64 telephone numbers, what is the probability that the response rate was between 41% and 45%?
Calculate the standard error to 4 decimals.  
Calculate the probability to 4 decimals, showing your steps along the way.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax