If we reject null hypothesis, when actually it si true it is known as-
First, I need to recall the types of errors in hypothesis testing. There's Type I error and Type II error. Type I error is when you reject a true null hypothesis, and Type II is when you fail to reject a false null hypothesis. So the correct answer here should be Type I error.
Now, the options aren't provided, but the correct answer is supposed to be one of them. Let's think about the other options that might be present. Common distractors could be Type II error, Type III error, or maybe even something like a false positive. But Type III errors aren't a standard term, so that's a possible wrong option.
The core concept here is understanding the definitions of Type I and Type II errors. The question is testing the knowledge of statistical errors in the context of hypothesis testing.
For the explanation, I need to make sure to define Type I error clearly. The probability of committing a Type I error is denoted by alpha (α), which is the significance level. So if the null hypothesis is true, and we reject it, that's a Type I error.
The wrong options would be things like Type II error (failing to reject a false null hypothesis), or maybe confusing it with a false positive (which is another term for Type I error but in the context of medical testing). However, the question is using statistical terms, so the answer should be Type I error.
Clinical pearl: Remember that Type I is "false positive," and Type II is "false negative." The mnemonic could be that the number 1 is like a "1" in "1" in "one" which is similar to "positive," so Type I is false positive.
Putting it all together, the correct answer is Type I error. The explanation should clarify the definitions and differentiate from other errors. The user might have mixed up the types, so it's important to highlight the key difference here.
**Core Concept**
This question tests understanding of statistical hypothesis testing errors. Rejecting a true null hypothesis is a **Type I error**, while failing to reject a false null hypothesis is a **Type II error**.
**Why the Correct Answer is Right**
A **Type I error** occurs when the null hypothesis is rejected despite being true. This is equivalent to a "false positive" finding. The probability of committing a Type I error is denoted by **α (alpha)**, the significance level set by the researcher (e.g., α = 0.05).
**Why Each Wrong Option is Incorrect**
**Option A:** *Type II error* is failing to reject a false null hypothesis (a "false negative"), not rejecting a true one.
**Option B:** *Type III error* is a non-standard, rarely used term sometimes described as correctly rejecting the null hypothesis but for the wrong reason.
**Option C:** *Type IV error* is not a recognized statistical error.
**Clinical Pearl / High-Yield Fact**
Remember: **Type I = α (alpha) error = "False positive"**; **Type II = β (beta) error = "False negative"**. Power (1 - β) is the probability of correctly rejecting a