A 2014 study by the reputable Gallup organization estimates that 34% of U.S. adults are worried about money. We want to know if the proportion is greater this year. We select a random sample of 100 U.S. adults this year and find that 40% are worried about money. After carrying out the hypothesis test for p = 0.34 compared to p > 0.34, we obtain a P‑value of 0.10. Which of the following interpretations of the P‑value is correct?  There is a 10% chance that 34% of U.S. adults are worried about money this year.  There is a 10% chance that 40% of U.S. adults are worried about money this year.  There is a 10% chance that 40% or more of U.S. adults are worried about money this year if 34% were worried about money in 2014.  There is a 10% chance that a sample of 100 U.S. adults will have 40% or more worried about money if 34% of the population is worried about money this year.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A 2014 study by the reputable Gallup organization estimates that 34% of U.S. adults are worried about money. We want to know if the proportion is greater this year. We select a random sample of 100 U.S. adults this year and find that 40% are worried about money.

After carrying out the hypothesis test for p = 0.34 compared to p > 0.34, we obtain a P‑value of 0.10. Which of the following interpretations of the P‑value is correct?

  1.  There is a 10% chance that 34% of U.S. adults are worried about money this year.
  2.  There is a 10% chance that 40% of U.S. adults are worried about money this year.
  3.  There is a 10% chance that 40% or more of U.S. adults are worried about money this year if 34% were worried about money in 2014.
  4.  There is a 10% chance that a sample of 100 U.S. adults will have 40% or more worried about money if 34% of the population is worried about money this year.
 
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