Margin of Error

Probability Level 2

Suppose you are a pollster for a major political organization and you want to say with 99.9% certainty that the majority of the country disapproves of the current administration, but that you don't have very much time.

So you conduct a study with 5050 respondents. 3535 of them say they do not approve. This seems like great news, that 70%70\% of the sample does not approve. Even if these 5050 are a truly random sample of the population, what's your sampling error rate? What's your margin of error on a 99.9%99.9\% confidence interval?

Express your answer as a decimal. For instance, 10%10\% would be 0.1.0.1.

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