The chemist Elínborg conducted a study to compare the averages of two populations. She calculated a 95% confidence interval for the difference between the mean populations as: −2.31 <μ1 - μ2 <4.21. She is interested in investigating whether there is a difference in the averages of the populations and she intends to use α = 0.05. It performs appropriate hypothesis testing. Which of the following statements is true? a) the p-value of the test is higher than 0.05. b) The probability that the null hypothesis is true is 0.05. c) The probability that the counter-hypothesis is true is 0.05. d) Elínborg can reject the null hypothesis. e) None of the above statements is correct.

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The chemist Elínborg conducted a study to compare the averages of two populations. She calculated a 95% confidence interval for the difference between the mean populations as: −2.31 <μ1 - μ2 <4.21. She is interested in investigating whether there is a difference in the averages of the populations and she intends to use α = 0.05. It performs appropriate hypothesis testing. Which of the following statements is true?
a) the p-value of the test is higher than 0.05.
b) The probability that the null hypothesis is true is 0.05. c) The probability that the counter-hypothesis is true is 0.05. d) Elínborg can reject the null hypothesis.
e) None of the above statements is correct.

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