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For all these problems, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In order to use

Bivariate numerical data
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asked 2021-06-29
For all these problems, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In order to use a normal distribution to compute confidence intervals for p, what conditions on pp and nq need to be satisfied?

Answers (1)

2021-06-30

Let n be the number of trials and p the probability of success.
It is appropriate to use a normal distribution to compute confidence intervals forp, if the sampling distribution of the sample proportion fis approximately normal.
It is appropriate to approximate the p distribution by the normal istribution, if np \(\displaystyle\geq\) and \(ng=n(1-p)\) \(\displaystyle\geq{5}\).

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