A Municipal Survey on the drinking habits of South Africans estimated the percentage of youth across the country who drink alcohol at least occasionally. Of the 1516 youth interviewed, 985 said that they drank. a. Determine a 95% confidence interval for the proportion of all South Africans who drink alcohol at occasionally. b. Find the margin of error for the estimate of p. c. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without guessing for the observed value of p.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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8) A Municipal Survey on the drinking habits of South Africans estimated the
percentage of youth across the country who drink alcohol at least occasionally.
Of the 1516 youth interviewed, 985 said that they drank.
a. Determine a 95% confidence interval for the proportion of all South Africans
who drink alcohol at occasionally.
b. Find the margin of error for the estimate of p.
c. Obtain a sample size that will ensure a margin of error of at most 0.02 for a
95% confidence interval without guessing for the observed value of p.
d. Find a 95% confidence interval for p if, for a sample of the size determined
in part (c), 63% of those check out drink alcohol.
Transcribed Image Text:8) A Municipal Survey on the drinking habits of South Africans estimated the percentage of youth across the country who drink alcohol at least occasionally. Of the 1516 youth interviewed, 985 said that they drank. a. Determine a 95% confidence interval for the proportion of all South Africans who drink alcohol at occasionally. b. Find the margin of error for the estimate of p. c. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without guessing for the observed value of p. d. Find a 95% confidence interval for p if, for a sample of the size determined in part (c), 63% of those check out drink alcohol.
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