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25 August, 07:09

A researcher conducts an experiment on human memory and recruits 15 people to participate in her study. She performs the experiment and analyzes the results. She uses a t-test for a mean and obtains a p-value of 0.17. Which of the following is a reasonable interpretation of her results? A. This proves that her experimental treatment has no effect on memory. B. If there is a treatment effect, the sample size was too small to detect it. C. She should reject the null hypothesis. D. There is evidence of a small effect on memory by her experimental treatment.

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  1. 25 August, 07:27
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    Answer: Option B is correct.

    Explanation:

    The p - value that is for a given model, the probability that, when the null hypothesis is correct/true, the summary will be equal to, or to a certain extent more than, the observed result but in this case it is quite high which leaves us with a little evidence of any effect. Hence, In this case if there is a treatment effect, the sample size taken in consideration was too small to detect it.
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