A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40
1 answer:
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
Thus the correct answer is given by option C.
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Answer:
<u>3.6 meters</u> are represented by 18 centimeters on the blueprint.
Step-by-step explanation:
Given:
A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.
Now, to find the actual meters represented by 18 centimeters.
Let the actual meters represented by 18 centimeters be
As, given the scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.
So, 10 centimeters equivalent to 2 meters.
Thus, 18 centimeters equivalent to
Now, to solve by using cross multiplication method:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 10 we get:</em>
Therefore, 3.6 meters are represented by 18 centimeters on the blueprint.
Answer:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
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 .
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).