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An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 2 percentage points of the true proportion with 90% confidence if: (a) the economist uses the 2009 estimate of 10% obtained from the American Community Survey? Answer: a= | Za/2 (Round to three decimal places)= Sample Size= E= Answer: Sample Size= (b) the economist does not use any prior estimates? Sample Proportion= (Round up to the nearest integer.) (Round up to the nearest integer.)

An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 2 percentage points of the true proportion with 90% confidence if: (a) the economist uses the 2009 estimate of 10% obtained from the American Community Survey? Answer: a= | Za/2 (Round to three decimal places)= Sample Size= E= Answer: Sample Size= (b) the economist does not use any prior estimates? Sample Proportion= (Round up to the nearest integer.) (Round up to the nearest integer.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 14E
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### Determining Sample Size for Estimating Proportions in Commuting Patterns An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 2 percentage points of the true proportion with 90% confidence if: #### (a) The economist uses the 2009 estimate of 10% obtained from the American Community Survey? **To calculate the sample size, the economist needs to fill in the following information:** 1. **Significance Level (α):** - **Answer: α = [ ]** 2. **Margin of Error (E):** - **Answer: E = [ ]** 3. **Sample Proportion:** - **Answer: Sample Proportion = [ ]** 4. **Critical Value (Zᵦ/₂):** - This is typically found using a Z-table or standard normal distribution table. - **Answer:
Transcribed Image Text:### Determining Sample Size for Estimating Proportions in Commuting Patterns An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 2 percentage points of the true proportion with 90% confidence if: #### (a) The economist uses the 2009 estimate of 10% obtained from the American Community Survey? **To calculate the sample size, the economist needs to fill in the following information:** 1. **Significance Level (α):** - **Answer: α = [ ]** 2. **Margin of Error (E):** - **Answer: E = [ ]** 3. **Sample Proportion:** - **Answer: Sample Proportion = [ ]** 4. **Critical Value (Zᵦ/₂):** - This is typically found using a Z-table or standard normal distribution table. - **Answer:
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