Perform an A/B testWhich of the following statements is true?You can reject the null hypothesis while testing at a 20% significance level but not at 10%.You can reject the null hypothesis while testing at a 10% significance level but not at 5%.You can reject the null hypothesis while testing at a 5% significance level but not at 1%.You can reject the null hypothesis while testing at a 1% significance level.
Question
Perform an A/B testWhich of the following statements is true?You can reject the null hypothesis while testing at a 20% significance level but not at 10%.You can reject the null hypothesis while testing at a 10% significance level but not at 5%.You can reject the null hypothesis while testing at a 5% significance level but not at 1%.You can reject the null hypothesis while testing at a 1% significance level.
Solution
The correct statement is: "You can reject the null hypothesis while testing at a 10% significance level but not at 5%."
Here's why:
The significance level, also denoted as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and decide in favor of the alternative hypothesis.
A lower significance level means that you require stronger evidence before you will reject the null hypothesis. So, if you can reject the null hypothesis at a 10% significance level, it means that the evidence in your sample met this threshold. However, if you cannot reject the null hypothesis at a 5% significance level, it means that the evidence in your sample did not meet this stricter threshold.
In other words, the evidence was strong enough to meet a 10% threshold (you are willing to accept a 10% chance of being wrong), but not strong enough to meet a 5% threshold (you are only willing to accept a 5% chance of being wrong).
The other statements are incorrect because they suggest that you can reject the null hypothesis at a lower significance level (which requires stronger evidence) but not at a higher one (which requires weaker evidence), which is not possible.
Similar Questions
The statement “If there is sufficient evidence to reject a null hypothesis at the 10% significance level, then there is sufficient evidence to reject it at the 5% significance level” is: Please select the best answer of those provided below.
Everything else remaining the same, is it easier to reject a null hypothesis with a 5% or 1% level of significance?
If a hypothesis is rejected at a 5% level of significance, it ___.Group of answer choicesmay be rejected or not rejected at the 1% levelwill always be rejected at the 1% levelwill always be accepted at the 1% levelwill never be tested at the 1% level
Significance LevelLet’s suppose that for a particular test, you have been able to reject the null hypothesis at 5% significance level. Can you reject the null hypothesis for the same test at 10% significance level?YesNoCannot be said
If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.Group of answer choicesTrueFalse
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