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Confidence level and significance level

Updated: 4/29/2024
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PratyushKumar

Lvl 1
14y ago

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I have always been careless about the use of the terms "significance level" and "confidence level", in the sense of whether I say I am using a 5% significance level or a 5% confidence level in a statistical test. I would use either one in conversation to mean that if the test were repeated 100 times, my best estimate would be that the test would wrongly reject the null hypothesis 5 times even if the null hypothesis were true. (On the other hand, a 95% confidence interval would be one which we'd expect to contain the true level with probability .95.) I see, though, that web definitions always would have me say that I reject the null at the 5% significance level or with a 95% confidence level. Dismayed, I tried looking up economics articles to see if my usage was entirely idiosyncratic. I found that I was half wrong. Searching over the American Economic Review for 1980-2003 for "5-percent confidence level" and similar terms, I found: 2 cases of 95-percent significance level

27 cases of 5% significance level 4 cases of 10% confidence level

6 cases of 90% confidence level Thus, the web definition is what economists use about 97% of the time for significance level, and about 60% of the time for confidence level. Moreover, most economists use "significance level" for tests, not "confidence level".

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2w ago

The confidence level is the probability that the true value of a parameter lies within the confidence interval. It is typically set at 95% in statistical analysis. The significance level is the probability of making a Type I error, which is mistakenly rejecting a true null hypothesis. It is commonly set at 0.05.

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Related questions

What is the confidence interval for 85 percent?

it would be with a level of significance of 0.15.


Is The probability at which the null hypothesis can be rejected with confidence is known as level of significance?

Yes.


What is the Probabilities of Critical Statistic?

The standard score associated with a given degree of confidence or level of significance.


What is the relationship between levels of confidence and statistical significance?

The connotation 'statistical significance' takes into account the number of samples as well level of confidence in making a conclusion based on these samples. The level of confidence is typically denoted as 1-alpha (1 minus alpha), where alpha is basically the chance that the reported conclusion will incorrect. The most popular level of confidence is 95%, which coincides with a 5% alpha, meaning that when one makes a conclusion based on a particular sample, there is a 5% chance of a false or incorrect conclusion.


If you have a 99 confidence interval what would your confidence level and alpha for it be?

Confidence level 99%, and alpha = 1%.


What confidence level has become the most used or traditional confidence level among business researchers?

95% confidence level is most popular


What happens to the confidence interval if you increase the confidence level?

The confidence interval becomes wider.


What is confidence associated with an interval estimate is called the?

confidence level


This is a measurement of an arguments strength where the higher the confidence level the more likely the conclusion is true?

confidence level


What is a measurement of an argument strength where the higher the confidence level the more likely the conclusion is true?

Confidence level is a statistical measure that indicates the likelihood that a conclusion is true. It is expressed as a percentage, where a higher confidence level indicates a greater probability that the conclusion is accurate. A confidence level of 95%, for example, suggests that there is a 95% chance that the conclusion is true.


True or False The higher the confidence level the narrower the confidence interval?

True.


What happens to the width of the confidence interval if you decrease the confidence level?

The width reduces.