Question

Suppose that you are using independent samples to compare two population proportions.

Fill in the blanks.

a. The mean of all possible differences between the two sample proportions equals the

b. For large samples, the possible differences between the two sample proportions have approximately a distribution.

Short answer

a). The mean of all possible differences between the two sample proportions equals the difference in population proportion.

b). For a huge sample, the differences between the two sample proportions have approximately a normal distribution.

Step-by-step solution

Part (a) Step 1: Given Information

A population proportion is a percentage of the total population that shares a particular trait.

Part (a) Step 2: Explanation

When comparing two population proportions, independent samples are used.

A population proportion is a good characteristic of the population.

The mean of all possible differences between the two sample proportions equals the difference in population proportion.

Part (b) Step 1: Given Information

A symmetric probability distribution about the mean indicates that data close to the mean occur more frequently than those further away.

Part (b) Step 2: Explanation

When comparing two population proportions, independent samples are used.

The probability distribution of a statistic is known as its normal distribution.

For a huge sample, the differences between the two sample proportions have approximately a normal distribution.