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vesna_86 [32]
3 years ago
12

4% of what number is 11

Mathematics
1 answer:
Neko [114]3 years ago
3 0
So,

First, find 1% by dividing 11 by 4.
11 * 0.25 = 2.75

Since 2.75 = 1%, we can simply move the decimal place two places to the right to get 100%.
2.75 --> 275

4% of 275 is 11.
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(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

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(A)

The margin of error, <em>MOE</em> = 0.04.

The formula for margin of error is:

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Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

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The formula for margin of error is:

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The critical value of <em>z</em> for 95% confidence interval is: z_{\alpha/2}=1.96

Compute the minimum sample size required as follows:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

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