Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of 50 successes with . Use StatKey or other technology to generate a bootstrap distribution of sample differences in proportions and find the standard error for that distribution. Compare the result to the value obtained using the formula for the standard error of a difference in proportions from this section.

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

Solving (a): Standard error using formula

First, calculate the proportion of A

The proportion of B

The standard error is:

Solving (a): Standard error using bootstrapping.

Following the below steps.

From the randomization sample, we have:

Sample A                          Sample B

So, we have: