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A 2016 survey of 10,000 randomly selected teens revealed that 51% named Nike as their top footwear brand. The same survey was given in 2019 to 8000 randomly selected teens and found that 41% chose Nike. Assume the conditions for inference have been met. (a) Calculate a 99% confidence interval for the difference (2019-2016) in the true proportions of teens who would choose Nike as their top footwear brand. Round each bound to 3 decimal places. (b) Based on the interval from part (a), is there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand? Explain your reasoning . Because the plausible values for the difference in proportions are there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand

A 2016 survey of 10,000 randomly selected teens revealed that 51% named Nike as their top footwear brand. The same survey was given in 2019 to 8000 randomly selected teens and found that 41% chose Nike. Assume the conditions for inference have been met. (a) Calculate a 99% confidence interval for the difference (2019-2016) in the true proportions of teens who would choose Nike as their top footwear brand. Round each bound to 3 decimal places. (b) Based on the interval from part (a), is there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand? Explain your reasoning . Because the plausible values for the difference in proportions are there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand

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
Section: Chapter Questions
Problem 8CR
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A 2016 survey of 10,000 randomly selected teens revealed that 51% named Nike as their top footwear brand. The same survey was given in 2019 to 8000 randomly selected teens and found that 41% chose Nike. Assume the conditions for inference have been met. (a) Calculate a 99% confidence interval for the difference (2019-2016) in the true proportions of teens who would choose Nike as their top footwear brand. Round each bound to 3 decimal places. (b) Based on the interval from part (a), is there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand? Explain your reasoning . Because the plausible values for the difference in proportions are , there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand
Transcribed Image Text:A 2016 survey of 10,000 randomly selected teens revealed that 51% named Nike as their top footwear brand. The same survey was given in 2019 to 8000 randomly selected teens and found that 41% chose Nike. Assume the conditions for inference have been met. (a) Calculate a 99% confidence interval for the difference (2019-2016) in the true proportions of teens who would choose Nike as their top footwear brand. Round each bound to 3 decimal places. (b) Based on the interval from part (a), is there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand? Explain your reasoning . Because the plausible values for the difference in proportions are , there convincing evidence that a lesser proportion of teens in 2019 than teens in 2016 would choose Nike as their top footwear brand
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