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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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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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