You recently sent out a survey to determine if the percentage of adults who use social media has changed from 60%, which was the percentage of adults who used social media five years ago. Of the 2307 people who responded to survey, 1721 stated that they currently use social media. a) Use the data from this survey to construct a 96% confidence interval estimate of the proportion of adults who use social media. Round your final answer to two decimal places. < p< b) Can you conclude that the percentage of adults who use social media has changed? Explain. Yes, because the proportion of adults who used social media five years ago is inside of the confidence interval. Yes, because the proportion of adults who used social media five years ago is not inside the confidence interval. No, because the proportion of adults who used social media five years ago is inside the confidence interval. No, because the proportion of adults who used social media five years ago is not inside the confidence interval. c) If it has changed, has it increased or decreased? The percentage increased. The percentage decreased. We cannot determine that the percentage has changed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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You recently sent out a survey to determine if the
percentage of adults who use social media has changed
from 60%, which was the percentage of adults who used
social media five years ago. Of the 2307 people who
responded to survey, 1721 stated that they currently use
social media.
a) Use the data from this survey to construct a 96%
confidence interval estimate of the proportion of adults
who use social media. Round your final answer to two
decimal places.
< p <
b) Can you conclude that the percentage of adults who use
social media has changed? Explain.
Yes, because the proportion of adults who used
social media five years ago is inside of the
confidence interval.
Yes, because the proportion of adults who used
social media five years ago is not inside the
confidence interval.
No, because the proportion of adults who used
social media five years ago is inside the confidence
interval.
No, because the proportion of adults who used
social media five years ago is not inside the
confidence interval.
c) If it has changed, has it increased or decreased?
The percentage increased.
The percentage decreased.
We cannot determine that the percentage has
changed.
Transcribed Image Text:You recently sent out a survey to determine if the percentage of adults who use social media has changed from 60%, which was the percentage of adults who used social media five years ago. Of the 2307 people who responded to survey, 1721 stated that they currently use social media. a) Use the data from this survey to construct a 96% confidence interval estimate of the proportion of adults who use social media. Round your final answer to two decimal places. < p < b) Can you conclude that the percentage of adults who use social media has changed? Explain. Yes, because the proportion of adults who used social media five years ago is inside of the confidence interval. Yes, because the proportion of adults who used social media five years ago is not inside the confidence interval. No, because the proportion of adults who used social media five years ago is inside the confidence interval. No, because the proportion of adults who used social media five years ago is not inside the confidence interval. c) If it has changed, has it increased or decreased? The percentage increased. The percentage decreased. We cannot determine that the percentage has changed.
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