Imagine that a researcher appropiately rejects a null hypothesis (with that null hypothesis stating that there is no difference between two means in the population). What is an appropiate interpretation for the rejection of the null hypothesis on the basis of the hypothesis test and the corresponding statistics? a. The observed differences between means were due to sampling error. b. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely. c. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely, given that the null hypothesis is false. d. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely, given that the null hypothesis is true. e. None of the above

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Imagine that a researcher appropiately rejects a null hypothesis (with that null hypothesis stating that there is no difference between two means in the population). What is an appropiate interpretation for the rejection of the null hypothesis on the basis of the hypothesis test and the corresponding statistics?

a. The observed differences between means were due to sampling error.

b. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely.

c. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely, given that the null hypothesis is false.

d. The probability of obtaining the observed difference between means (or an even more extreme difference) is very unlikely, given that the null hypothesis is true.

e. None of the above

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