Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the sample size. Since they haven't run the study yet it is common practice to approximate the sample proportion as 50% since this is the worst case scenario. (a) If researchers decide on a 4.7% margin of error for a 95% confidence interval. What sample size should they pursue?  (b) If researchers decide on a 2.6% margin of error for a 99% co

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question
100%

Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the sample size. Since they haven't run the study yet it is common practice to approximate the sample proportion as 50% since this is the worst case scenario.

(a) If researchers decide on a 4.7% margin of error for a 95% confidence interval. What sample size should they pursue? 

(b) If researchers decide on a 2.6% margin of error for a 99% confidence interval. What sample size should they pursue? 

Hint: Whole number of people, not fractional people. Round up.

Expert Solution
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning