Trends in fashion have signaled the emergence of green as the color of the century. It ranked third as the most preferred color among designers having a market share of 9.24%. Its popularity may be partially due to an increased interest in the environment. Besides, "Green symbolizes harmony and counteracts emotional stress." A random sample of 250 local designers were interviewed and asked about their preferred color. Suppose the sample yields the 95% confidence interval 0.0825 < p < 0.1315 Does this provide evidence to indicate that the proportion of local designers whe preferred the color green is different from 9.24%? Yes, since 9.24% < 13.15% O No, since 9.24% is within the confidence interval. Yes, since 9.24% is within the confidence interval. O Yes, since 9.24% > 8.25%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Trends in fashion have signaled the emergence of green as the color
of the century. It ranked third as the most preferred color among
designers having a market share of 9.24%. Its popularity may be
partially due to an increased interest in the environment. Besides,
"Green symbolizes harmony and counteracts emotional stress."
A random sample of 250 local designers were interviewed and asked about their
preferred color.
Suppose the sample yields the 95% confidence interval
0.0825 < p < 0.1315
Does this provide evidence to indicate that the proportion of local designers who
preferred the color green is different from 9.24%?
O Yes, since 9.24% < 13.15%
O No, since 9.24% is within the confidence interval.
O Yes, since 9.24% is within the confidence interval.
Yes, since 9.24% > 8.25%.
Transcribed Image Text:Trends in fashion have signaled the emergence of green as the color of the century. It ranked third as the most preferred color among designers having a market share of 9.24%. Its popularity may be partially due to an increased interest in the environment. Besides, "Green symbolizes harmony and counteracts emotional stress." A random sample of 250 local designers were interviewed and asked about their preferred color. Suppose the sample yields the 95% confidence interval 0.0825 < p < 0.1315 Does this provide evidence to indicate that the proportion of local designers who preferred the color green is different from 9.24%? O Yes, since 9.24% < 13.15% O No, since 9.24% is within the confidence interval. O Yes, since 9.24% is within the confidence interval. Yes, since 9.24% > 8.25%.
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