A recent Gallup poll asked a random sample of 1010 Americans to respond to the statement, "If the U.S. fails to develop a more talented workforce, it will fall behind other countries." The 95% confidence interval for the proportion who would respond "Strongly agree" or "Agree" is 0.74 to 0.82. Calculate the point estimate and the margin of error used to create this confidence interval.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A recent Gallup poll asked a random sample of 1010 Americans to respond to the statement, "If the U.S. fails to develop a more talented workforce, it will fall behind other countries." The 95% confidence interval for the proportion who would respond "Strongly agree" or "Agree" is 0.74 to 0.82.

Calculate the point estimate and the margin of error used to create this confidence interval.

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