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:






Perpendicular
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What is the X in the problem
That's true.
That will make the thing a third of its original size.
we have that
(r, ∅)----------> (-7, 5 pi/3)
we know that
5 pi/3--------> 300°-----------> -60°
To convert polar cordinates in rectangular one with use the following formula:
x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2
y=r*sin ∅-------> y=-7*sin -60-------> y=-7*(-√3)/2----> y=7√3/2
the answer is the option
D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2