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zmey [24]
3 years ago
11

Calculate the margin of error

Mathematics
2 answers:
Pepsi [2]3 years ago
7 0

Answer:

The margin of error is 3.465

Step-by-step explanation:

Margin of error = t × sd/√n

n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20

Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465

balu736 [363]3 years ago
4 0

Answer:

The margin of error is of 3.43.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

So

M = 1.645*\frac{20}{\sqrt{92}} = 3.43

The margin of error is of 3.43.

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