Can P Value Ever Be 0 It s a binomial test with null hypothesis p 0 p 0 On the other hand in the t test the p value can never be zero Your confusion appears to stem from a misinterpretation of what the p value is
In general smaller p values are desirable The smaller the p value the more certainty there is that the null hypothesis can be rejected For example in the case of the P values on standard computers using IEEE double precision floats can get as low as approximately 10 308 These can be legitimately correct calculations when effect sizes are large and or standard errors are low
Can P Value Ever Be 0
Can P Value Ever Be 0
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P value
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P value
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The p value in statistics quantifies the evidence against a null hypothesis A low p value suggests data is inconsistent with the null potentially favoring an alternative hypothesis Common significance thresholds are 0 05 However in reality p value can very rarely be zero Any data collected for some study are certain to be suffered from error at least due to chance random cause Accordingly for any set of data it is certain not to
It is extremely rare for this to happen in practice So a few points for your consideration are Was the sample incompatible with the null hypothesis Was the p value Yes and the difference is statistically significant I performed a one sided hypothesis test to show this result The mean TE of paste A was 100 and that of B was 94
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Too often scientists use a low p value to mean significance Learn how to properly interpret your p value and other statistical parameters in this article If the p value of a hypothesis test is sufficiently low we can reject the null hypothesis Specifically when we conduct a hypothesis test we must choose a significance
In a normal Gaussian probability distribution you can t BUT You can get as close to zero as you want the further you get from the mean Besides in practice the normal Legitimate p values can t actually be zero unless you observe a literally impossible result under the null because the p values is the probability of of a result at least extreme as the one
Hypothesis Testing Is P value Based On CLT Cross Validated
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It s a binomial test with null hypothesis p 0 p 0 On the other hand in the t test the p value can never be zero Your confusion appears to stem from a misinterpretation of what the p value is
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In general smaller p values are desirable The smaller the p value the more certainty there is that the null hypothesis can be rejected For example in the case of the
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Can P Value Ever Be 0 - The p value in statistics quantifies the evidence against a null hypothesis A low p value suggests data is inconsistent with the null potentially favoring an alternative hypothesis Common significance thresholds are 0 05
