Sample Size and Proportion Concepts

Sample Size and Proportion Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This tutorial explains how to determine the sample size for an interval estimate of a population proportion, commonly used in polls and surveys. It covers the relevant equation, symbols, and calculation steps, emphasizing the importance of squaring the margin of error. The tutorial also discusses the symmetry of sample size calculations and provides a graph to illustrate this. The largest sample size needed for a margin of error of 2.5% is highlighted, and the video concludes with a call to share the knowledge.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of this tutorial?

Understanding Z-scores

Calculating standard deviation

Sample size for interval estimate of a population proportion

Sample size for interval estimate of a population mean

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT used in the equation for sample size of a population proportion?

Sample size (N)

Z-score (Z)

Standard deviation

Margin of error (E)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the symbol 'P' represent in the equation?

Sample size

Z-score

Proportion or percentage

Margin of error

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What confidence level is assumed in the example calculation?

90%

99%

95%

80%

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example calculation, what is the value of the margin of error used?

0.05

0.15

0.10

0.025

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated sample size in the example provided?

1,000

1,500

1,153

1,200

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between sample size and proportion in the graph?

Sample size decreases as proportion increases

Sample size increases as proportion decreases

Sample size is constant regardless of proportion

Sample size is symmetrical for different proportions

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the largest sample size needed for a margin of error of 0.025?

1,537

1,200

1,000

1,800

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common sample size used in surveys with a margin of error of 2.5%?

1,200

1,400

1,600

1,800