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A study found that, in 2005, 12.5% of U.S. workers belonged to unions ( The Wall Street Journal , January 21, 2006). Suppose a sample

A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union efforts to organize have increased union membership.

  1. Formulate the hypotheses that can be used to determine whether union membership increased in 2006.
  2. H0: p Select
  3. greater than .125
  4. greater than or equal to .125
  5. equal to .125
  6. less than or equal to .125
  7. less than .125
  8. not equal to .125
  9. Item 1
  10. Ha: p Select
  11. greater than .125
  12. greater than or equal to .125
  13. equal to .125
  14. less than or equal to .125
  15. less than .125
  16. not equal to .125
  17. Item 2
  18. If the sample results show that 52 of the workers belonged to unions, what is the sample proportion of workers belonging to unions (to 2 decimals)?
  19. Complete the following, assuming an level of .05.
  20. Compute the value of the test statistic (to 2 decimals).
  21. What is the p-value (to 4 decimals)?

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