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Sample Size and Margin of Error

Sample Size and Margin of Error

Assessment

Interactive Video

Mathematics, Science, Business

9th - 12th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

This tutorial explains how to determine the optimal sample size for research, considering factors like margin of error and confidence levels. It covers the formula for calculating sample size when Sigma is known and provides examples for both general sample size and proportions. The tutorial emphasizes the trade-off between confidence level and sample size, concluding with a summary of key points.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are some factors that might constrain the sample size in real-life scenarios?

Availability of respondents and time

The color of the survey form

The location of the research

The type of questions asked

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which component is NOT part of the margin of error formula?

Z value

Sigma

Sample size

Population mean

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for determining the sample size for a desired margin of error?

n = e^2 / Z^2 * Sigma^2

n = Z^2 * Sigma^2 / e^2

n = Z * Sigma / e

n = Sigma^2 / Z^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the student grades example, what is the Z value for a 95% confidence interval?

1.96

2.33

1.64

2.58

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the known value of Sigma in the student grades example?

20 points

15 points

10 points

5 points

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When calculating sample size, why do we always round up to the next integer?

To ensure the sample size is not underestimated

To make calculations easier

To avoid decimal points

To match the population size

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for determining the sample size for a proportion?

n = P^2 / Z^2

n = e^2 / Z^2 * P * (1 - P)

n = Z^2 * P * (1 - P) / e^2

n = Z * P / e

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