Question

Based on the results of a correctly computed statistical analysis, a researcher concluded that a new behavioral intervention helps individuals with a particular type of emotional disturbance compared to the standard treatment. In reality, the intervention truly is not effective in the population. This suggests:

no statistical errors occurred

a Type II error occurred

researchers should implement the intervention

a Type I error occurred

Answer 1

Solution:

Given:

Based on the results of a correctly computed statistical analysis,
a researcher concluded that a new behavioral intervention helps individuals with a particular type of emotional disturbance compared to the standard treatment.

In reality, the intervention truly is not effective in the population.

In hypothesis testing, null hypothesis is stated as there is no significant effect whereas alternative hypothesis is stated as there is significant effect.

Thus we have cocnluded that: a new behavioral intervention helps individuals with a particular type of emotional disturbance compared to the standard treatment.

that means a researcher concluded that new behavioral intervention has significant effect.

That means null hypothesis stated in this test, is rejected.

In reality, the intervention truly is not effective in the population. That means, null hypothesis of no significant effect is True.

Thus here we have rejected null hypothesis, in fact null hypothesis is True.

Type I Error definition: Reject null hypothesis , if fact it is True.

Type II Error definition: Fail to reject null hypothesis, in fact it is False.

No error occurs when False null hypothesis is rejected or True null hypothesis is not rejected.

Since we we have rejected null hypothesis, in fact null hypothesis is True.

Thus Type I Error occurred.