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SSSSS [86.1K]
3 years ago
11

The latest poll of 400 randomly selected residents showed that 288 of them are hoping that the old town cinema stays open on Mai

n Street.
With a desired confidence interval of 95%, which has a z*-score of 1.96, what is the approximate margin of error for this polling question?

A) 4%
B) 5%
C) 7%
D) 8%

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0
The approximate margin of error is 4%.

Using the formula given and our information, we have:

E=1.96\times \sqrt{\frac{\frac{288}{400}(1-\frac{288}{400})}{400}}
\\
\\=1.96\times \sqrt{\frac{0.72(1-0.72)}{400}}=1.96\times \sqrt{\frac{0.72(0.28)}{400}}
\\
\\=0.044\approx 0.04=4%
Sauron [17]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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