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:






Take away 1,3 it interferes with 1,1 making it not a function. You can use the vertical line test and see if more than one is in a vertical line to find it.
Answer:
< W ≅ < P.
Step-by-step explanation:
< W ≅ < P.
< W is the refection of < P over the x-axis.
Area of a circle using the radius is pi*r^2, so:
A=3.14*4^2
A=3.14*16
A=50.24