Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let Pp represent the sample proportion for D, and let Pe represent the sample proportion for E. (a) What is the value of the difference pp - PR? Show your work. (d) Consider your answer in part (a). What is the probability that Pp – PE is greater than the value found in part (a)? Show your work.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell
length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell
length greater than 2 feet. Let Pp represent the sample proportion for D, and let Pe represent the sample proportion for E.
(a) What is the value of the difference pp - PR? Show your work.
Transcribed Image Text:Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let Pp represent the sample proportion for D, and let Pe represent the sample proportion for E. (a) What is the value of the difference pp - PR? Show your work.
(d) Consider your answer in part (a). What is the probability that Pp – PE is greater than the value found in part (a)? Show your work.
Transcribed Image Text:(d) Consider your answer in part (a). What is the probability that Pp – PE is greater than the value found in part (a)? Show your work.
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