People can develop allergic reactions to sulfites, a family of chemical compounds often used for commercial food preservation. Researchers examined a sample of 21 patients with hypertension who had sought treatment regarding some allergic reaction. The published findings state that 9 of them were sensitive to sulfites. What is a 95% plus four confidence interval for the true proportion of sulfite sensitivity among hypertensive patients with an allergy? Assume the necessary assumptions for this confidence interval are met.

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Quizplus · Accepted Answer

The correct answer is A.The sample proportion of sulfite sensitivity is 9/21 = 0.44. The standard error of the proportion is sqrt(0.44 * 0.56 / 21) = 0.195. The 95% plus four confidence interval is 0.44 +/- 1.96 * 0.195 = 0.44 +/- 0.380 = 0.060 to 0.820.

People Can Develop Allergic Reactions to Sulfites, a Family of Chemical