A product development scientist is tasked with determining which of three methods is the most effective for catching fruit flies: a sticky paper trap, a liquid trap, or a container trap. The scientist hypothesizes that all three methods will be equally effective at catching the fruit flies. To investigate, he releases a random sample of 300 fruit flies in an enclosed area containing each of the three traps. He finds that 145 got stuck on the sticky paper, 80 were caught in the liquid trap, and 75 were caught in the container trap. He would like to know if these data provide convincing evidence that the three methods are not equally effective at catching fruit flies. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. χ2 = 30.5, P-value is less than 0.0005 χ2 = 30.5, P-value is greater than 0.25 χ2 = 27.30, P-value is less than 0.0005 χ2 = 27.30, P-value is greater than 0.25

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A product development scientist is tasked with determining which of three methods is the most effective for catching fruit flies: a sticky paper trap, a liquid trap, or a container trap. The scientist hypothesizes that all three methods will be equally effective at catching the fruit flies. To investigate, he releases a random sample of 300 fruit flies in an enclosed area containing each of the three traps. He finds that 145 got stuck on the sticky paper, 80 were caught in the liquid trap, and 75 were caught in the container trap. He would like to know if these data provide convincing evidence that the three methods are not equally effective at catching fruit flies. What is the value of the chi-square test statistic and P-value?

Find the chi-square table here.

χ2 = 30.5, P-value is less than 0.0005
χ2 = 30.5, P-value is greater than 0.25
χ2 = 27.30, P-value is less than 0.0005
χ2 = 27.30, P-value is greater than 0.25
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