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xeze [42]
3 years ago
13

The sum of the measurement of angle M and angle R is 180 degrees

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

5

Step-by-step explanation:

it is 5

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Suppose a polling agency reported that 44.4​% of registered voters were in favor of raising income taxes to pay down the nationa
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<em>95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.</em>

<em>(0.414 ,0.474)</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

<em>Given sample proportion </em>

<em>                                     p⁻ = 44.4 % = 0.444</em>

<em>Random sample size 'n' = 1049</em>

<em>Given margin of error for 95% confidence level = 3 % = 0.03</em>

<u><em>Step(ii):-</em></u>

<em>95% of confidence interval for the proportion is determined by</em>

(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} }  , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })<em></em>

we know that

<em>Margin of error for 95% confidence level is determined by</em>

M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }

<u><em>Step(iii):-</em></u>

Now

<em> 95% of confidence interval for the proportion is determined by</em>

(p^{-} - M.E, p^{-} + M.E)<em></em>

<em>Given Margin of error </em>

<em>                               M.E = 0.03</em>

<em>Now 95% of confidence interval for the proportion</em>

(0.444 - 0.03, 0.444+ 0.03)<em></em>

<em>(0.414 ,0.474)</em>

<u><em>Conclusion:-</em></u>

<em>95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.</em>

<em>(0.414 ,0.474)</em>

6 0
3 years ago
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