survey on supernatural experiences, surveye they ghost. (a) What assumption must be made in order for it to be appropriate to use the formula of this section to construct a confidence interval to estimate the proportion of all adult Americans who have seen or been with a ghost? ◇ We need to assume that the 4003 people were surveyed at a supernatural convention. ○ We need to assume that there are only 712 adult Americans. ◇ We need to assume that the 712 people are the only Americans who had seen or been with a ghost. We need to assume that the 4003 people formed a random sample of adult Americans. (b) Construct a 90% confidence interval for the proportion of all adult Americans who have seen or been with a ghost. (Round your answers to three decimal places.) ( Interpret the interval. ◇ We are confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval 90% of the time. We are 90% confident that the proportion who have seen or been with a ghost is within this interval. We are 90% confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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9.2.2

In a survey on supernatural experiences, 712 of 4003 adult Americans surveyed reported that they had seen or been with a ghost.
(a) What assumption must be made in order for it to be appropriate to use the formula of this section to construct a confidence interval to estimate the proportion of all adult
Americans who have seen or been with a ghost?
We need to assume that the 4003 people were surveyed at a supernatural convention.
We need to assume that there are only 712 adult Americans.
We need to assume that the 712 people are the only Americans who had seen or been with a ghost.
We need to assume that the 4003 people formed a random sample of adult Americans.
(b) Construct a 90% confidence interval for the proportion of all adult Americans who have seen or been with a ghost. (Round your answers to three decimal places.)
)
Interpret the interval.
We are confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval 90% of the time.
We are 90% confident that the proportion who have seen or been with a ghost is within this interval.
We are 90% confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval.
○ We are confident that 90% of the proportion of all adult Americans who have seen or been with a ghost is within this interval.
(c) Would a 99% confidence interval be narrower or wider than the interval computed in part (b)?
O narrower
○ wider
Transcribed Image Text:In a survey on supernatural experiences, 712 of 4003 adult Americans surveyed reported that they had seen or been with a ghost. (a) What assumption must be made in order for it to be appropriate to use the formula of this section to construct a confidence interval to estimate the proportion of all adult Americans who have seen or been with a ghost? We need to assume that the 4003 people were surveyed at a supernatural convention. We need to assume that there are only 712 adult Americans. We need to assume that the 712 people are the only Americans who had seen or been with a ghost. We need to assume that the 4003 people formed a random sample of adult Americans. (b) Construct a 90% confidence interval for the proportion of all adult Americans who have seen or been with a ghost. (Round your answers to three decimal places.) ) Interpret the interval. We are confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval 90% of the time. We are 90% confident that the proportion who have seen or been with a ghost is within this interval. We are 90% confident that the proportion of all adult Americans who have seen or been with a ghost is within this interval. ○ We are confident that 90% of the proportion of all adult Americans who have seen or been with a ghost is within this interval. (c) Would a 99% confidence interval be narrower or wider than the interval computed in part (b)? O narrower ○ wider
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