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12.06.2021 •
Mathematics
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Ответ:
183
Step-by-step explanation:
Given : A pilot sample of 50 voters found that 33 of them intended to vote in the election.
i.e.![\hat{p}=\dfrac{33}{50}=0.66](/tpl/images/0225/2868/0bba2.png)
and the voters sampled = 50
Significance level :![\alpha=1-0.99=0.01](/tpl/images/0225/2868/2d118.png)
Critical value :![z_{\alpha/2}=2.576](/tpl/images/0225/2868/2c0a6.png)
Margin of error:E = 0.08
The formula to find the sample size is given by :-
Then, the additional voters need to be sample =![233-50=183](/tpl/images/0225/2868/abfa0.png)
Hence, the region should sample 183 additional voters.