Question 1124393
410/1000 = 0.41 decimal equivalent
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our proportion is 0.41
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since we do not know the population's standard deviation, we use the standard error and the student t-statistic
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standard error = square root(0.41 * (1-0.41) / 36) = 0.082
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alpha(a) = 1 - 90/100 = 0.10
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critical probability(p*) = 1 - a/2 = 0.95
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degrees of freedom(df) = 36 -1 = 35
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the t-statistic having 35 degrees of freedom and a cumulative probability of 0.95 is 1.69
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Margin of Error(ME) = 1.69 * 0.082 = 0.1386
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90% confidence interval is 0.41 + or - 0.1386, which is 0.2714 to 0.5486
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