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morpeh [17]
3 years ago
6

Find the area please

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

7.07

Step-by-step explanation:

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Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

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Required

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This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

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\bar x = \bar x_1 - \bar x_2

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\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

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Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

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So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

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You can do it on the calculator too.

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