Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favored the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the towns residence favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trails is run, each with a sample of 200, using the point estimate of the population the minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. a) what is the point estimate of the population? b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? c) The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favored the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the towns residence favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trails is run, each with a sample of 200, using the point estimate of the population the minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. a) what is the point estimate of the population? b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? c) The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion? d) is the community action groups clean likely based on either interval estimate of the true population proportion? Explain.
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