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If the researcher fails to find a significant difference using a statistical test on a sample,...

If the researcher fails to find a significant difference using a statistical test on a sample, when in fact one exists in the population:

Select one: 1. a Type 1 error has been made. 2. a Type 2 error has been made. 3. the null hypothesis was correctly rejected. 4. the research hypothesis was correctly accepted.

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Answer #1

If the researcher fails to find a significant difference using a statistical test on a sample, when in fact one exists in the population. That means researcher do not reject the null hypothesis, when in fact it is false, then they made a type II error here.

Because, Type II error is a Probability of failing to reject the null hypothesis, when in fact it is false.

Answer : 2) A Type 2 error has been made.

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