Sample Size Calculation Concepts

The video tutorial explains how to calculate the sample size for a survey using Slovin's formula. It begins by determining the total population size by adding up individual group sizes. Then, it applies Slovin's formula, considering a 5% margin of error, to find the total sample size. The tutorial further breaks down the process to calculate the sample size for each respondent group, ensuring the results are whole numbers. Finally, it verifies the calculations by summing up the individual sample sizes to match the total sample size.

What is the first step in solving the problem of finding the sample size?

• Find the total population size

• Use the formula directly

• Calculate the total sample size

• Determine the margin of error

Which formula is used to calculate the total sample size?

• Quadratic formula

• Pythagorean theorem

• Bayes' theorem

• Slogans formula

What is the margin of error assumed in the absence of a given value?

• 0.5%

• 10%

• 1%

• 5%

How is the margin of error converted for use in the formula?

• As a fraction

• As a whole number

• As a percentage

• As a decimal

What is the role of the margin of error in sample size calculation?

• It affects the precision of the sample size

• It simplifies the formula

• It determines the total population size

• It is used to calculate the number of groups

What is the total sample size calculated before rounding?

• 1826

• 5.565

• 457

• 328.1

Why is the sample size rounded to a whole number?

• To match the population size

• To simplify calculations

• Because sample size must be a whole number

• To reduce error

What formula is used to find the sample size for each respondent group?

• Respondent population size over total population size times total sample size

• Total population size over respondent population size times total sample size

• Total sample size over respondent population size times total population size

• Respondent population size times total sample size over total population size

What is the sample size for the group with a population size of 435?

• 82

• 59

• 78

• 53

What is the sample size for the group with a population size of 327?

• 53

• 82

• 59

• 78