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stiks02 [169]
3 years ago
15

11. Ben received 3% more votes than Sam during the team captain election. If Ben and Sam were the only two candidates, what perc

ent of
all votes did Sam receive?

A 47%
B 47.5%
C 49%
D 48.5%
Mathematics
1 answer:
Jlenok [28]3 years ago
4 0
The answer is A.) 47%

i’m pretty sure
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Aleksandr [31]

Answer:

The sample size required is at least 171

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:

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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 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

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So

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

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

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Rouding up

The sample size required is at least 171

5 0
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