A study was conducted in Austria to determine if the likelihood that a child will have hay fever (seasonal allergies) is different for children living in rural communities compared to children who live in a city. The researchers surveyed 261 children who lived in rural communities and found that 10 suffered from hay fever. Among the 1614 children who lived in the city, 166 reported that they had hay fever. Is there evidence that the proportion of rural children who have hay fever is different than the proportion of city children who have hay fever?Define the parameters and state the hypotheses.Calculate the sample statistic (use correct notation) What would be a good graph to display this data? Are the conditions for the appropriate analysis met? Explain and show work.Compute the appropriate test statistic, given that SE = 0.01946.Find the p-value using StatKey.Based on your p-value, what do you conclude? Use α = 0.05 Find a 90% confidence interval for this difference in proportions, given that SE = 0.01408.Write a sentence interpreting your confidence interval.

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Description: A study was conducted in Austria to determine if the likelihood that a child will have hay fever (seasonal allergies) is different for children living in rural communities compared to children who live in a city. The researchers surveyed 261 children

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was conducted in Austria to determine if the likelihood that a child will have hay fever (seasonal allergies) is different for children living in rural communities compared to children who live in a city. The researchers surveyed 261 children who lived in rural communities and found that 10 suffered from hay fever. Among the 1614 children who lived in the city, 166 reported that they had hay fever. Is there evidence that the proportion of rural children who have hay fever is different than the proportion of city children who have hay fever?

Define the parameters and state the hypotheses.
Calculate the sample statistic (use correct notation)

What would be a good graph to display this data?

Are the conditions for the appropriate analysis met? Explain and show work.
Compute the appropriate test statistic, given that SE = 0.01946.
Find the p-value using StatKey.
Based on your p-value, what do you conclude? Use α = 0.05

Find a 90% confidence interval for this difference in proportions, given that SE = 0.01408.
Write a sentence interpreting your confidence interval.

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