In a random sample of 1066 U.S. adults, 580 think that the U.S. government is doing too little to protect the environment. In another random sample of 1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is doing too little to protect the environment. At α = 0.10, can you reject the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has not changed? Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a random sample of 1066 U.S. adults, 580 think that the U.S. government is doing too little to protect the environment. In another random sample of 1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is doing too little to protect the environment. At α = 0.10, can you reject the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has not changed?

  1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
  2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
  3. Find the critical value(s) and identify the rejection region(s).
  4. Find the appropriate standardized test statistic. If convenient, use technology.
  5. Decide whether to reject or fail to reject the null hypothesis.
  6. Interpret the decision in the context of the original claim.
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