The ________ ___ ___________ is the probability of making a Type I error. 

Verified step by step guidance

1. Understand the context: In hypothesis testing, a Type I error occurs when we reject the null hypothesis even though it is true.
2. Recall the definition: The probability of making a Type I error is denoted by a specific term related to the significance level of the test.
3. Identify the term: This probability is called the 'level of significance' or simply 'significance level' and is commonly represented by the Greek letter alpha (\(\alpha\)).
4. Express the relationship: The significance level \(\alpha\) is the threshold probability at which we decide whether to reject the null hypothesis, controlling the chance of a Type I error.
5. Summarize: Therefore, the ________ ___ ___________ is the 'level of significance' or 'significance level' (\(\alpha\)), which quantifies the probability of making a Type I error.

Key Concepts

Type I Error

A Type I error occurs when a true null hypothesis is incorrectly rejected. It represents a false positive, meaning we conclude there is an effect or difference when none exists.

Significance Level (Alpha)

The significance level, denoted by alpha (α), is the threshold probability for making a Type I error. It defines the maximum acceptable risk of rejecting a true null hypothesis, commonly set at 0.05.

Hypothesis Testing

Hypothesis testing is a statistical method used to decide whether to reject a null hypothesis based on sample data. It involves comparing a test statistic to a critical value determined by the significance level.