10.15 National public opinion polls are often based on as few as 1,500 persons in a random sampling of public sentiment on issues of public interest. These surveys are often done in person because the response rate for a mailed survey is very low and telephone interviews tend to reach a larger proportion of older persons than would be represented in the public as a whole. Suppose a random sample of 1,500 registered voters was surveyed about energy issues. a. If 230 of the 1,500 responded that they would favor drilling for oil in national parks, estimate the proportion r of registered voters who would favor drilling for oil in national parks. Use a 95% confidence interval b. How many persons must the survey include to have 95% confidence that the sam- ple proportion is within.01 of r? c. A congressman has claimed that over half of all registered voters would support drilling in national parks. Use the survey data to evaluate the congressman's claim. Use α .05.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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10.15 National public opinion polls are often based on as few as 1,500 persons in a random
sampling of public sentiment on issues of public interest. These surveys are often done in person
because the response rate for a mailed survey is very low and telephone interviews tend to reach a
larger proportion of older persons than would be represented in the public as a whole. Suppose a
random sample of 1,500 registered voters was surveyed about energy issues.
a. If 230 of the 1,500 responded that they would favor drilling for oil in national
parks, estimate the proportion r of registered voters who would favor drilling for
oil in national parks. Use a 95% confidence interval
b. How many persons must the survey include to have 95% confidence that the sam-
ple proportion is within.01 of r?
c. A congressman has claimed that over half of all registered voters would support
drilling in national parks. Use the survey data to evaluate the congressman's claim.
Use α .05.
Transcribed Image Text:10.15 National public opinion polls are often based on as few as 1,500 persons in a random sampling of public sentiment on issues of public interest. These surveys are often done in person because the response rate for a mailed survey is very low and telephone interviews tend to reach a larger proportion of older persons than would be represented in the public as a whole. Suppose a random sample of 1,500 registered voters was surveyed about energy issues. a. If 230 of the 1,500 responded that they would favor drilling for oil in national parks, estimate the proportion r of registered voters who would favor drilling for oil in national parks. Use a 95% confidence interval b. How many persons must the survey include to have 95% confidence that the sam- ple proportion is within.01 of r? c. A congressman has claimed that over half of all registered voters would support drilling in national parks. Use the survey data to evaluate the congressman's claim. Use α .05.
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