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A survey asks participants if they support or oppose an amendment to the constitution that would change the electoral college used to elect the president. If there are 75 respondents (selecting using a simple random sample) to a survey, what is the approximate margin of error?

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Answer:

The approximate margin of error = ± 0.1131607

Step-by-step explanation:

By margin of error = ± Z *[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

We assume 95% confidence interval. Thus Z = 1.96. Since the survey is about support or oppose, we assume equal proportion: 50% for and 50% against.

Hence, margin of error = ± 1.96* ((0.5*0.5)/75)^(0.5)

                                      = ± 0.1131607

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