Answer:
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.
- Open Statkey
- Under Randomization Hypothesis Tests, select Test for Difference in Proportions
- Click on Edit data, enter the appropriate data
- Click on ok to generate samples
- Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>
From the randomization sample, we have:
Sample A Sample B



So, we have:






Answer:
28.6%; 313,099
Step-by-step explanation:
Lawyers are either male or female, so if 71.4% are male, then 100% minus that are female.
100% - 71.4% = 28.6%
28.6% of 1,094,751 is:
0.286 × 1094751 = 313098.786
Rounded to the nearest whole number, there are 313,099 female lawyers.