A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 2190 adults whether they think things in the country are going in the right direction or in the wrong direction. 43% said that things were going in the wrong direction. Complete parts a and b below. a) Calculate the margin of error for the proportion of all adults who think things are going in the wrong direction for 90% confidence. b) Explain what this margin of error means. Select the correct choice below and fill in the answer box within your choice. A. We are 90% confident that the observed proportion of adults that responded "wrong track" is within __ of the population proportion. B. We are 90% confident that the observed proportion of adults that responded "wrong track" is within __ of the sample proportion. C. The probability that any given adult surveyed from the population will respond "wrong track" is __. D. The probability that any given adult surveyed from the sample responded "wrong track" is __.
Added by Donna M.
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The formula for the standard deviation of a sample proportion is: $$ \sqrt{\frac{p(1-p)}{n}} $$ where $p$ is the sample proportion and $n$ is the sample size. In this case, $p = 0.43$ and $n = 2190$. So, the standard deviation of the sample proportion Show more…
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