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In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. (a) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 95% confidence. (Enter your answer as a whole number.) (b) The formula for determining sample size given in this section corresponds to a confidence level of 95%. How would you modify this formula if a 99% confidence level was desired? 2 On = p(1 - p) (1.96 ) ² On = p(1 - p) (2.58 ) ² On = p(1 - p) (2.3 ·P)(2.33)² 1.645\2 On = p(1 - p) (1.64 ·P) (2.05 ) 2 On = p(1 - p) (c) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 99% confidence. (Enter your answer as a whole number.)

In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. (a) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 95% confidence. (Enter your answer as a whole number.) (b) The formula for determining sample size given in this section corresponds to a confidence level of 95%. How would you modify this formula if a 99% confidence level was desired? 2 On = p(1 - p) (1.96 ) ² On = p(1 - p) (2.58 ) ² On = p(1 - p) (2.3 ·P)(2.33)² 1.645\2 On = p(1 - p) (1.64 ·P) (2.05 ) 2 On = p(1 - p) (c) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 99% confidence. (Enter your answer as a whole number.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. (a) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 95% confidence. (Enter your answer as a whole number.) (b) The formula for determining sample size given in this section corresponds to a confidence level of 95%. How would you modify this formula if a 99% confidence level was desired? 2 On = p(1 - p) (1.96 ) ² On = p(1 - p) (2.58 ) ² On = p(1 - p) (2.3 ·P)(2.33)² 1.645\2 On = p(1 - p) (1.64 ·P) (2.05 ) 2 On = p(1 - p) (c) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 99% confidence. (Enter your answer as a whole number.)
Transcribed Image Text:In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. (a) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 95% confidence. (Enter your answer as a whole number.) (b) The formula for determining sample size given in this section corresponds to a confidence level of 95%. How would you modify this formula if a 99% confidence level was desired? 2 On = p(1 - p) (1.96 ) ² On = p(1 - p) (2.58 ) ² On = p(1 - p) (2.3 ·P)(2.33)² 1.645\2 On = p(1 - p) (1.64 ·P) (2.05 ) 2 On = p(1 - p) (c) Use the given preliminary estimate to determine the sample size required to estimate the proportion of adult Americans who would like an Internet connection in their car to within 0.05 with 99% confidence. (Enter your answer as a whole number.)
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