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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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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