In a certain allergy survey, about 10% said that they experienced "severe" allergy symptoms. The sample size is n = 861. (a) Determine the standard error of the sample proportion in this problem. (Round the answer to five decimal places.) (b) Find the margin of error for a 95% confidence interval for the percentage that suffers from severe allergies in the population represented by this sample. (Round the answer to one decimal place.) ___%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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In a certain allergy survey, about 10% said that they experienced "severe" allergy symptoms. The sample size is n = 861.

(a) Determine the standard error of the sample proportion in this problem. (Round the answer to five decimal places.)
 

(b) Find the margin of error for a 95% confidence interval for the percentage that suffers from severe allergies in the population represented by this sample. (Round the answer to one decimal place.)
 ___%
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