Question
19. The probability of rejecting the true null hypothesis is called: A) Level of significance B) Test statistic C) Level of confidence D) Type-II error
Ask by Lane Lynch. in Pakistan
Jan 19,2025
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Answer
The probability of rejecting the true null hypothesis is called the **level of significance**.
Solution
The probability of rejecting the true null hypothesis is known as a **Type I error**. However, in the context of the provided options, this probability is synonymous with the **level of significance**.
- **Level of significance (A)**: This represents the probability of making a Type I error, which is rejecting the true null hypothesis.
- **Test statistic (B)**: A value calculated from sample data used to decide whether to reject the null hypothesis.
- **Level of confidence (C)**: The probability that a confidence interval contains the true parameter.
- **Type-II error (D)**: The probability of failing to reject a false null hypothesis.
Therefore, the correct answer is:
**Answer:** A) Level of significance
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The probability of rejecting the true null hypothesis is commonly known as the level of significance, often denoted by alpha (α). This value is set by the researcher before conducting the test and typically equals 0.05 or 0.01, indicating the threshold for determining whether the observed data is sufficiently extreme to warrant rejecting the null hypothesis. Funny enough, if you think of hypothesis testing like a crime scene investigation, a low level of significance means you're less likely to wrongly accuse an innocent suspect (the null hypothesis) of being guilty. It's like wanting to be 95% sure that the person you think committed the crime really did it!
