Sample Proportion Distribution Concepts

The video tutorial explains how to estimate a population proportion using a sample proportion. It covers calculating the sample proportion, understanding its distribution, and determining if it is approximately normal. The tutorial also explains how to calculate the standard deviation of a sampling distribution and construct a distribution using the mean and standard deviation.

Why is it impractical to measure the proportion of left-handed people in the entire population?

• Because left-handed people are rare.

• Because the population is too large.

• Because left-handedness is not well-defined.

• Because it requires special equipment.

What is the sample size used in the example to estimate the proportion of left-handed people?

• 500

• 750

• 250

• 1000

How is the sample proportion calculated in the example?

• By dividing the number of left-handed people by the sample size.

• By dividing the number of left-handed people by the total population.

• By multiplying the number of left-handed people by the sample size.

• By adding the number of left-handed people to the sample size.

What is the sample proportion of left-handed people in the example?

• 0.25

• 0.10

• 0.15

• 0.20

What does the sample proportion of 0.15 indicate about the population?

• 15% of the sample is left-handed.

• 15% of the population is expected to be left-handed.

• 15% of the population is right-handed.

• 15% of the sample is right-handed.

Under what condition is the distribution of the sample proportion approximately normal?

• When the sample size is less than 5% of the population.

• When the sample size is more than 5% of the population.

• When the sample size is more than 10% of the population.

• When the sample size is exactly 5% of the population.

What equation is used to determine if the sample proportion distribution is approximately normal?

• n - p > 10

• n * p * (1 - p) > 10

• n / p > 10

• n + p > 10

What is the significance of the sample size being less than 5% of the total population?

• It confirms the sample proportion distribution is approximately normal.

• It reduces the standard deviation.

• It allows for a larger margin of error.

• It ensures the sample is representative.

What is the calculated value that confirms the distribution is approximately normal in the example?

• 70.00

• 50.25

• 63.75

• 45.50

What does the equation n * p * (1 - p) > 10 help determine?

• The mean of the sample proportion.

• The normality of the sample proportion distribution.

• The size of the sample.

• The proportion of left-handed people.