a. State the survey results in confidence interval form and interpret the interval The confidence interval of the survey results is (Round to two decimal places as needed.) Interpret the interval. Choose the correct answer below OA. There is a 90% chance that the percentage of people in the region who have tried marijuana is within the confidence interval. B. We are 90% confident that the percentage of people in the region who have tried marijuana is within the confidence interval OC. The confidence interval will contain the percentage of people in the region who have tried marijuana 90% of the time. OD. 90% of the 1,040 people from the region that were polled fell within the confidence interval b. If the polling company was to conduct 200 such surveys of 1,040 people from the region, how many of them would result in confidence intervals that did not include the true population proportion? Approximately of the confidence intervals would not include the true population proportion c. Suppose a student wrote this interpretation of the interval: "We are 90% confident that the percentage of people from this region who have tried marijuana is within the confidence interval." What, # anything, is incorrect in this interpretation? OA. This interpretation is incorrect because the confidence level states the probability that the sample proportion is within the confidence interval OB. This interpretation is incorrect because a confidence interval is about a population not a sample. OC. This interpretation is incorrect because the confidence level represents how often the confidence interval will contain the correct population proportion OD. There is nothing wrong with this interpretation.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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Consider a poll that reported that 41% of people from a certain region have tried marijuana. The survey polled 1,040 adults from the region and had a margin of error of plus or minus 6 percentage
points with a 90% level of confidence. Complete parts (a) through (c) below.
a. State the survey results in confidence interval form and interpret the interval
The confidence interval of the survey results is
(Round to two decimal places as needed.)
Interpret the interval. Choose the correct answer below.
OA. There is a 90% chance that the percentage of people in the region who have tried marijuana is within the confidence interval
B. We are 90% confident that the percentage of people in the region who have tried marijuana is within the confidence interval
OC. The confidence interval will contain the percentage of people in the region who have tried marijuana 90% of the time.
OD. 90% of the 1,040 people from the region that were polled fell within the confidence interval
b. If the polling company was to conduct 200 such surveys of 1,040 people from the region, how many of them would result in confidence intervals that did not include the true population proportion?
Approximately of the confidence intervals would not include the true population proportion
c. Suppose a student wrote this interpretation of the interval: "We are 90% confident that the percentage of people from this region who have tried marijuana is within the confidence interval." What,
anything, is incorrect in this interpretation?
A. This interpretation is incorrect because the confidence level states the probability that the sample proportion is within the confidence interval
OB. This interpretation is incorrect because a confidence interval is about a population not a sample.
OC. This interpretation is incorrect because the confidence level represents how often the confidence interval will contain the correct population proportion.
OD. There is nothing wrong with this interpretation.
Transcribed Image Text:Consider a poll that reported that 41% of people from a certain region have tried marijuana. The survey polled 1,040 adults from the region and had a margin of error of plus or minus 6 percentage points with a 90% level of confidence. Complete parts (a) through (c) below. a. State the survey results in confidence interval form and interpret the interval The confidence interval of the survey results is (Round to two decimal places as needed.) Interpret the interval. Choose the correct answer below. OA. There is a 90% chance that the percentage of people in the region who have tried marijuana is within the confidence interval B. We are 90% confident that the percentage of people in the region who have tried marijuana is within the confidence interval OC. The confidence interval will contain the percentage of people in the region who have tried marijuana 90% of the time. OD. 90% of the 1,040 people from the region that were polled fell within the confidence interval b. If the polling company was to conduct 200 such surveys of 1,040 people from the region, how many of them would result in confidence intervals that did not include the true population proportion? Approximately of the confidence intervals would not include the true population proportion c. Suppose a student wrote this interpretation of the interval: "We are 90% confident that the percentage of people from this region who have tried marijuana is within the confidence interval." What, anything, is incorrect in this interpretation? A. This interpretation is incorrect because the confidence level states the probability that the sample proportion is within the confidence interval OB. This interpretation is incorrect because a confidence interval is about a population not a sample. OC. This interpretation is incorrect because the confidence level represents how often the confidence interval will contain the correct population proportion. OD. There is nothing wrong with this interpretation.
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