Elisabeth conducted an experiment where she examined the number of tourists who visited one place in the north. She counted the number each day for two months last year and wanted to find out if there was a difference in the average number of tourists in those two months. Elizabeth calculated a 95% confidence interval for the difference between the two averages as: −8.21 <μ1 - μ2 <−2.12. She then performed an appropriate hypothesis test to see if there was a difference in the averages and used α = 0.05.   Which of the following statements is true?   The 1st p-value of the test is lower than 0.05. The p-value of the test is higher than 0.05. The probability that the null hypothesis is true is 0.05. None of the above statements is correct given the information provided.

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Elisabeth conducted an experiment where she examined the number of tourists who visited one place in the north. She counted the number each day for two months last year and wanted to find out if there was a difference in the average number of tourists in those two months. Elizabeth calculated a 95% confidence interval for the difference between the two averages as: −8.21 <μ1 - μ2 <−2.12. She then performed an appropriate hypothesis test to see if there was a difference in the averages and used α = 0.05.

 

Which of the following statements is true?

 

  1. The 1st p-value of the test is lower than 0.05.
  2. The p-value of the test is higher than 0.05.
  3. The probability that the null hypothesis is true is 0.05.
  4. None of the above statements is correct given the information provided.
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