Question

A business manager wishes to survey an organization to determine the satisfaction level. The manager estimates that 70% of the employees would say that they are satisfied. The organization has 250 employees. The manager wishes to be 95% confident in the results, with a margin of error no greater than 3%. How many employees should the manager sample?

Name: a business manager wishes to survey in an organization to determine the satisfaction levelthe manager estimates that 70 of the employees would say that they are satisfied the organization ha 81285
Uploaded: 2022-06-15T11:59:36-08:00
Duration: 2 min 16 s
Channel: Marc Lauzon
Description: a business manager wishes to survey in an organization to determine the satisfaction levelthe manager estimates that 70 of the employees would say that they are satisfied the organization ha 81285

          A business manager wishes to survey an organization to determine the satisfaction level. The manager estimates that 70% of the employees would say that they are satisfied. The organization has 250 employees. The manager wishes to be 95% confident in the results, with a margin of error no greater than 3%. How many employees should the manager sample?

Added by Nathan A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Marc Lauzon

06/15/2022

Step 1

Given: - Margin of error (MOE) = 3% or 0.03 - Confidence level (Z) = 1.96 (for 95% confidence) - Proportion of employees satisfied (p) = 0.7 - Sample size (n) is unknown The margin of error formula is: MOE = Z * sqrt(p * (1 - p) / n) Show more…

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A business manager wishes to survey an organization to determine the satisfaction level. The manager estimates that 70% of the employees would say that they are satisfied. The organization has 250 employees. The manager wishes to be 95% confident in the results, with a margin of error no greater than 3%. How many employees should the manager sample?