A random sample of 250 local designers were interviewed and asked about their preferred color. Results showed that 27 preferred the color green. Construct a 95% confidence interval for the true proportion of local designers who preferred the color green.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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. Results showed that 27 preferred the color green.
Construct a 95% confidence interval for the true proportion of
local designers who preferred the color green.
O 0.0623 < p < 0.1537
0.1537 < p < 0.0623
O 0.1465 < p < 0.0695
O 0.0695 < p < 0.1465
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. Results showed that 27 preferred the color green. Construct a 95% confidence interval for the true proportion of local designers who preferred the color green. O 0.0623 < p < 0.1537 0.1537 < p < 0.0623 O 0.1465 < p < 0.0695 O 0.0695 < p < 0.1465
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