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:
Step-by-step explanation:
the current ages:
father= 32 yrs old
son=5 yrs old
-------
4(5+x) = 32+x
20+4x = 32+x
4x-x = 32–20
3x =12
x = 12/3
x = 4 years
------------------------------------
after the 4 years later the farther age will be 36 ( 32+4 = 36)
the son will be 9 ( 5+4= 9 years)
the x presents how the father will be after 4 times the age of the son
Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
8+4-5
12-5
7
14:21 one is the right answer