Trends in fashion have signaled the emergence of green as the colorof the century. It ranked third as the most preferred color amongdesigners having a market share of 9.24%. Its popularity may bepartially 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 theirpreferred color. Results showed that 27 preferred the color green.Construct a 95% confidence interval for the true proportion oflocal designers who preferred the color green.O 0.0623 < p < 0.15370.1537 < p < 0.0623O 0.1465 < p < 0.0695O 0.0695 < p < 0.1465

Solution:- from given information x=27n=250

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 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

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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