(Solution Library) Asthmatics and Sulfites. Refer to Exercise 12.16. Determine the margin of error for the estimate of p. Obtain a sample size that will ensure
Question: Asthmatics and Sulfites. Refer to Exercise 12.16.
- Determine the margin of error for the estimate of \(p\).
- Obtain a sample size that will ensure a margin of error of at most 0.01 for a \(95 \%\) confidence interval without making a guess for the observed value of \(\hat{p}\).
- Find a \(95 \%\) confidence interval for \(p\) if, for a sample of the size determined in part (b), the proportion of asthmatics sampled who are allergic to sulfites is 0.071.
- Determine the margin of error for the estimate in part (c) and compare it to the margin of error specified in part (b).
- Repeat parts (b)-(d) if you can reasonably presume that the proportion of asthmatics sampled who are allergic to sulfites will be at most 0.10.
- Compare the results you obtained in parts (b)-(d) with those obtained in part (e).
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