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dedylja [7]
3 years ago
11

A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

ror for this survey if we want 90% confidence in our estimate of the percentage of American adults who approve of cloning endangered animals.
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

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