1. Estimate the population proportion of voters who support the candidate:
Proportion = (Number of supporters in sample / Total sample size) = (280/500) = 0.56
Therefore, the estimated population proportion of voters who support the candidate is 0.56 or 56%.
2. Estimate the population proportion of voters who support the candidate using two standard errors:
Standard error = square root[(Proportion * (1 - Proportion)) / Sample size]
= square root[(0.56 * 0.44) / 500] = square root(0.001232) = 0.0351
Margin of error = 2 * Standard error = 2 * 0.0351 = 0.0702
Confidence interval = Proportion ± Margin of error = 0.56 ± 0.0702 = (0.4898, 0.6302)
Therefore, the estimated population proportion of voters who support the candidate using two standard errors is between 48.98% and 63.02%.
you are a pollster conductiong a survey to estimate the proption of voters whi support a cerain candidate in an upcoming election. You take a random sample of 500 voters and find that 280 of them support the candidate. Estimate the population proportion of the voters who support the candidate. Estimate the population proption of the voters who support the candidate using two standard errors
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