A student conducted a test to see if people preferred one of two possible new logos for UF, one with orange lettering and one with blue lettering. Three hundred randomly selected students were asked which one they preferred. One hundred preferred the logo with the blue lettering. How can a confidence interval for the population proportion be computed for this example?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A student conducted a test to see if people preferred one of two possible new logos for UF, one with
orange lettering and one with blue lettering. Three hundred randomly selected students were asked
which one they preferred. One hundred preferred the logo with the blue lettering.
How can a confidence interval for the population proportion be computed for this example?
O Using the small sample confidence interval for the population proportion where phat= (x+15) / (n+15)
O Using the large sample confidence interval for the population proportion where phat=x/n
O Using the small sample confidence interval for the population proportion where phat = (x+2)/(n+4)
O Cannot be determined.
Transcribed Image Text:A student conducted a test to see if people preferred one of two possible new logos for UF, one with orange lettering and one with blue lettering. Three hundred randomly selected students were asked which one they preferred. One hundred preferred the logo with the blue lettering. How can a confidence interval for the population proportion be computed for this example? O Using the small sample confidence interval for the population proportion where phat= (x+15) / (n+15) O Using the large sample confidence interval for the population proportion where phat=x/n O Using the small sample confidence interval for the population proportion where phat = (x+2)/(n+4) O Cannot be determined.
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