Can an interviewer influence how people respond to the survey question, "Do you like dogs?" To answer this question, Jason carried out an experiment. As each person approached, Jason flipped a coin. If it landed on heads, Jason picked up his puppy and asked the person if they like dogs. If the coin landed on tails, Jason picked up a clipboard and asked the person if they like dogs. Of the 50 people that Jason surveyed while holding his puppy, 35 said "Yes," while 11 of the 44 people that Jason surveyed while holding his clipboard said "Yes." Let p₁ = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding his puppy and p2 = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding a clipboard. Construct and interpret a 90% confidence interval for the difference in the proportion of people like these who would say they like dogs when Jason is holding his puppy or a clipboard. O (-0.299,-0.601) We are 90% confident that the interval from 0.299 to 0.601 captures P₁ P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard. (0.270, 0.630) We are 90% confident that the interval from 0.270 to 0.630 captures P₁ P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard. This confidence interval should not be computed because the conditions are not met. (0.299, 0.601) We are 90% confident that the interval from 0.299 to 0.601 captures p₁ - P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard.
Can an interviewer influence how people respond to the survey question, "Do you like dogs?" To answer this question, Jason carried out an experiment. As each person approached, Jason flipped a coin. If it landed on heads, Jason picked up his puppy and asked the person if they like dogs. If the coin landed on tails, Jason picked up a clipboard and asked the person if they like dogs. Of the 50 people that Jason surveyed while holding his puppy, 35 said "Yes," while 11 of the 44 people that Jason surveyed while holding his clipboard said "Yes." Let p₁ = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding his puppy and p2 = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding a clipboard. Construct and interpret a 90% confidence interval for the difference in the proportion of people like these who would say they like dogs when Jason is holding his puppy or a clipboard. O (-0.299,-0.601) We are 90% confident that the interval from 0.299 to 0.601 captures P₁ P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard. (0.270, 0.630) We are 90% confident that the interval from 0.270 to 0.630 captures P₁ P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard. This confidence interval should not be computed because the conditions are not met. (0.299, 0.601) We are 90% confident that the interval from 0.299 to 0.601 captures p₁ - P2 = the true difference in the proportions of people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Transcribed Image Text:Can an interviewer influence how people respond to the survey question, "Do you like dogs?" To answer this question, Jason
carried out an experiment. As each person approached, Jason flipped a coin. If it landed on heads, Jason picked up his puppy
and asked the person if they like dogs. If the coin landed on tails, Jason picked up a clipboard and asked the person if they like
dogs.
Of the 50 people that Jason surveyed while holding his puppy, 35 said "Yes," while 11 of the 44 people that Jason surveyed
while holding his clipboard said "Yes." Let p₁ = the true proportion of people like the ones in this study who would say they
like dogs when Jason is holding his puppy and p2 = the true proportion of people like the ones in this study who would say they
like dogs when Jason is holding a clipboard.
Construct and interpret a 90% confidence interval for the difference in the proportion of people like these who would say
they like dogs when Jason is holding his puppy or a clipboard.
O (-0.299,-0.601)
We are 90% confident that the interval from 0.299 to 0.601 captures p₁ - P2 = the true difference in the proportions of
people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard.
(0.270, 0.630)
We are 90% confident that the interval from 0.270 to 0.630 captures p₁ - P₂ = the true difference in the proportions of
people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard.
This confidence interval should not be computed because the conditions are not met.
(0.299, 0.601)
We are 90% confident that the interval from 0.299 to 0.601 captures p₁ - P2 = the true difference in the proportions of
people like the ones in this study who would say they like dogs when Jason is holding his puppy or a clipboard.
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