A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 235 high school seniors in his random sample, 164 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed? State the null hypothesis H0 and the alternative hypothesis H1 what test would you use to solve (t-test/z-test?) find

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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A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 235 high school seniors in his random sample, 164 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed?

  • State the null hypothesis H0 and the alternative hypothesis H1
  • what test would you use to solve (t-test/z-test?) find the value of the test
  • find two critical values
  • Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed? Yes or no?
  •  
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