In the matrix of possible outcomes for null hypothesis testing, which decision corresponds to a Type II error?

Match each possible outcome of a null hypothesis test to its corresponding scenario.

A researcher investigates whether listening to classical music improves performance on a spatial reasoning task. In reality, the music has no effect on performance in the population. However, the researcher’s study finds a statistically significant result, leading them to reject the null hypothesis. True or False: This researcher has committed a Type I error.

A researcher investigates a new cognitive therapy that truly reduces depressive symptoms. However, the study results are not statistically significant, leading the researcher to conclude that the therapy is ineffective. Arrange the steps below to logically sequence how this specific statistical outcome was reached.

A researcher is developing a new automated results-reporting system for psychological experiments. To 'create' a logical 'flag' that specifically identifies whenever a study has committed a 'Type II Error' (a 'missed' effect), which assembly of researcher decision and population reality must the developer program the system to detect?

A Type II error occurs when a researcher rejects a null hypothesis that is actually true in reality.

A researcher reports a statistically significant result ($p < .05$) and rejects the null hypothesis. For this outcome to be evaluated as a 'correct decision'—rather than a Type I error—the null hypothesis must actually be _____ in the population.

A researcher is evaluating different scenarios from a completed memory experiment. Match each research scenario to its corresponding outcome in the null hypothesis testing matrix.

In a study on attention, the researchers find a statistically significant difference and decide to reject the null hypothesis. If there is actually no difference between the groups in the population, the researchers have committed a _____.

Order the steps a researcher must take to evaluate a study's outcome and determine which specific cell of the 2x2 null hypothesis testing matrix has been reached.

Describe the four distinct possible outcomes of a null hypothesis test. In your description, explain how these outcomes are created by the intersection of the researcher's formal decisions and the possible states of reality, and identify which two outcomes are correct decisions and which two are statistical errors.

Based on the matrix of possible outcomes in null hypothesis testing, diagnose the specific statistical outcome of this study. Explain why it represents this outcome by mapping the scenario to the researcher's decision and the true state of reality.

A researcher investigates whether a new therapeutic intervention reduces anxiety levels. They find a statistically significant result and decide to reject the null hypothesis. If the intervention actually has no real effect on anxiety in the population, what specific outcome in the null hypothesis testing matrix has occurred?