Answer:
a) A sample size of 5615 is needed.
b) 0.012
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

99.5% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that 






A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now
.
We have to find M.



Answer:
y=-1/3x-6.. .. .. .. .. ..
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
1. division to multiplication 4r
2. subtraction to addition m+15
3. division to multiplication 21/k or k/21
4. subtraction to addition m-16 or 16-m
5 multiplication to division 17/g or g/17
6 subtraction to addition p+24
Answer:
x = 2
Step-by-step explanation:
To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.
The formula for the perimeter of a rectangle is as follows:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
Let L = 7x + 5 and W = x - 3
Now, we will simply plug our values into the formula and solve for x.
P = 2L + 2W
36 = 2 ( 7x + 5 ) + 2 ( x - 3 )
36 = 14x + 10 + 2x + -6
36 = 16x + 4
32 = 16x
2 = x
Thus, we have found the value of x to be 2.
Cheers.