A volunteer wearing a caveman mask was scolded by 158 out of 444 crows he encountered, and the crows scolded a person in the neutral mask in 109 out of 922 encounters.Use the percentile method to find a 90% confidence interval for the difference in the proportion of crow scoldings between volunteers wearing the caveman mask and those wearing the neutral mask. Which of the following best describes the meaning of your confidence interval? Choice 1:For 90% of crows in our sample, the difference in the rate they'll scold caveman masks and neutral masks is in our confidence interval. Choice 2:For 90% of all crows, the difference in the rate they'll scold caveman masks and neutral masks is in our confidence interval. Choice 3:We're 90% confident that the difference of the proportions of crows in our sample that scold caveman masks and neutral masks is in our confidence interval. Choice 4:We're 90% confident that the difference of the proportions of all crows that scold caveman masks and neutral masks is in our confidence interval.   Which choice is correct and why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A volunteer wearing a caveman mask was scolded by 158 out of 444 crows he encountered, and the crows scolded a person in the neutral mask in 109 out of 922 encounters.Use the percentile method to find a 90% confidence interval for the difference in the proportion of crow scoldings between volunteers wearing the caveman mask and those wearing the neutral mask. Which of the following best describes the meaning of your confidence interval?

Choice 1:For 90% of crows in our sample, the difference in the rate they'll scold caveman masks and neutral masks is in our confidence interval.
Choice 2:For 90% of all crows, the difference in the rate they'll scold caveman masks and neutral masks is in our confidence interval.
Choice 3:We're 90% confident that the difference of the proportions of crows in our sample that scold caveman masks and neutral masks is in our confidence interval.
Choice 4:We're 90% confident that the difference of the proportions of all crows that scold caveman masks and neutral masks is in our confidence interval.
 
Which choice is correct and why?
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