Element X is a radioactive isotope such that every 61 years, its mass decreases by half. Given that the initial mass of a sample
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Answer:
<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>
<em></em>
we know that
<em>Margin of error for 95% confidence level is determined by</em>
<u><em>Step(iii):-</em></u>
Now
<em> 95% of confidence interval for the proportion is determined by</em>
<em></em>
<em>Given Margin of error </em>
<em> M.E = 0.03</em>
<em>Now 95% of confidence interval for the proportion</em>
<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>