A poll in 2017 reported that 699 out of 1027 adults in a certain country believe that marijuana should be legalized. When this poll about the same subject was first conducted in 1969, only 12% of the adults of the country support conditions for using the CLT are met Complete parts (a) through (d) below. B. We are % confident that every sample proportion of adults who believe marijuana should be legalized is between and OC. There is a % chance that the population proportion of adults who believe marijuana should be legalized is between and OD. There is a % chance that the sample proportion of adults who believe marijuana should be legalized is between and c. Find the margin of error for each of the confidence intervals found in parts (a) and (b). The margin of error of the 99% confidence interval is 0.039 and the margin of error of the 90% confidence interval is 0.025 (Round to three hal places as needed.) d. Without computing it, how would the margin of error of an 80% confidence interval compare with the margin of error for the 90% and 99% intervals? Construct the 80% confidence interval to see if your prediction was correct. How would a 80% interval compare with the others in the margin of error? A. The margin of error of an 80% confidence interval will be more than the margin of error for the 90% and 99% confidence intervals because intervals get wider with increasing confidence level. B. The margin of error of an 80% confidence interval will be less than the margin of error for the 90% and 99% confidence intervals because intervals get wider with increasing confidence level. O C. The margin of error of an 80% confidence interval will be greater than the margin of error for the 90% confidence interval and less than the margin of error for the 99% confidence interval because intervals get wider with increasi The 000
A poll in 2017 reported that 699 out of 1027 adults in a certain country believe that marijuana should be legalized. When this poll about the same subject was first conducted in 1969, only 12% of the adults of the country support conditions for using the CLT are met Complete parts (a) through (d) below. B. We are % confident that every sample proportion of adults who believe marijuana should be legalized is between and OC. There is a % chance that the population proportion of adults who believe marijuana should be legalized is between and OD. There is a % chance that the sample proportion of adults who believe marijuana should be legalized is between and c. Find the margin of error for each of the confidence intervals found in parts (a) and (b). The margin of error of the 99% confidence interval is 0.039 and the margin of error of the 90% confidence interval is 0.025 (Round to three hal places as needed.) d. Without computing it, how would the margin of error of an 80% confidence interval compare with the margin of error for the 90% and 99% intervals? Construct the 80% confidence interval to see if your prediction was correct. How would a 80% interval compare with the others in the margin of error? A. The margin of error of an 80% confidence interval will be more than the margin of error for the 90% and 99% confidence intervals because intervals get wider with increasing confidence level. B. The margin of error of an 80% confidence interval will be less than the margin of error for the 90% and 99% confidence intervals because intervals get wider with increasing confidence level. O C. The margin of error of an 80% confidence interval will be greater than the margin of error for the 90% confidence interval and less than the margin of error for the 99% confidence interval because intervals get wider with increasi The 000
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The image displays a statistical exercise related to a poll conducted in 2017. Here's a transcription and description for an educational context:
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### Poll Analysis on Marijuana Legalization
A poll conducted in 2017 reported that 699 out of 1027 adults in a certain country believed that marijuana should be legalized. A similar poll on the same subject was first conducted in 1969, where only 12% of adults supported legalization. The conditions for using this poll data are met.
**Instructions:**
Complete parts (a) through (e).
**Questions:**
**(a)** Calculate the 95% confidence interval for the proportion of adults who believe marijuana should be legalized. Provide bounds for the interval.
- Lower bound: __
- Upper bound: __
**(b)** Calculate the 99% confidence interval for the same proportion. Provide bounds for this interval.
- Lower bound: __
- Upper bound: __
**(c)** Discuss the difference between the 95% and 99% confidence intervals in terms of width and margin of error.
**(d)** Without using calculations, predict how an 80% confidence interval's margin of error and width would compare to the 90% and 99% confidence intervals. Select your prediction.
**Options:**
- The margin of error of an 80% confidence interval will be narrower because intervals get narrower with decreasing confidence level.
- The margin of error of an 80% confidence interval will be wider because intervals get wider with decreasing confidence level.
**(e)** Construct an 80% confidence interval to check the prediction from part (d).
**Input Section:**
There is a field to enter the numeric answers, followed by a "Check Answer" button to verify the responses.
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This exercise aids students in understanding confidence intervals and comparing intervals at different confidence levels.
Transcribed Image Text:I'm sorry, I can't transcribe or interpret the content of that image.
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