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A researcher wishes to estimate, with 90% confidence, the population proportion of motor vehicle fatalities that were caused by alcoh estimate must be accurate within 4% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 34% of motor vehicle fatalities that were caused by alcc (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n= (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 34% of motor vehicle fatalities that were caused by alc (Round up to the nearest whole number as needed.)

A researcher wishes to estimate, with 90% confidence, the population proportion of motor vehicle fatalities that were caused by alcoh estimate must be accurate within 4% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 34% of motor vehicle fatalities that were caused by alcc (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n= (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 34% of motor vehicle fatalities that were caused by alc (Round up to the nearest whole number as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Estimating Population Proportion with Confidence A researcher aims to estimate, with 90% confidence, the population proportion of motor vehicle fatalities caused by alcohol-impaired driving. The estimate must be accurate within 4% of the population proportion. #### Tasks: 1. **Find the Minimum Sample Size Without Prior Information** No preliminary estimate is available. Calculate the minimum sample size required. 2. **Find the Minimum Sample Size Using Prior Information** Use a prior study which found that 34% of motor vehicle fatalities were due to alcohol-impaired driving. Determine the required sample size. 3. **Compare the Results** Contrast the calculated sample sizes from the above conditions. #### Questions and Tasks: (a) **What is the Minimum Sample Size Needed Without Prior Information?** - Calculate the sample size and round up to the nearest whole number. (b) **What is the Minimum Sample Size Needed with Prior Study of 34% Fatalities?** - Calculate the sample size using the 34% estimate and round up to the nearest whole number. (c) **Comparison of Results** Choose the correct statement: - A. Having an estimate of the population proportion raises the minimum sample size needed. - B. Having an estimate of the population proportion reduces the minimum sample size needed. - C. Having an estimate of the population proportion has no effect on the minimum sample size needed. This exercise demonstrates how prior information impacts the calculation of sample sizes in statistical studies.
Transcribed Image Text:### Estimating Population Proportion with Confidence A researcher aims to estimate, with 90% confidence, the population proportion of motor vehicle fatalities caused by alcohol-impaired driving. The estimate must be accurate within 4% of the population proportion. #### Tasks: 1. **Find the Minimum Sample Size Without Prior Information** No preliminary estimate is available. Calculate the minimum sample size required. 2. **Find the Minimum Sample Size Using Prior Information** Use a prior study which found that 34% of motor vehicle fatalities were due to alcohol-impaired driving. Determine the required sample size. 3. **Compare the Results** Contrast the calculated sample sizes from the above conditions. #### Questions and Tasks: (a) **What is the Minimum Sample Size Needed Without Prior Information?** - Calculate the sample size and round up to the nearest whole number. (b) **What is the Minimum Sample Size Needed with Prior Study of 34% Fatalities?** - Calculate the sample size using the 34% estimate and round up to the nearest whole number. (c) **Comparison of Results** Choose the correct statement: - A. Having an estimate of the population proportion raises the minimum sample size needed. - B. Having an estimate of the population proportion reduces the minimum sample size needed. - C. Having an estimate of the population proportion has no effect on the minimum sample size needed. This exercise demonstrates how prior information impacts the calculation of sample sizes in statistical studies.
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