Why do you want a small p-value?

“P” in P-value means the “Probability”- how likely it is that your sample data was *ONLY* BECAUSE OF RANDOM SAMPLING, not because of the actual difference. So, if the p-value is small, that's good because it tells you that the result of your experiment is not just due to chance.
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Why is a smaller p-value better?

In practice, the smaller the calculated p value, the more we consider the null hypothesis to be improbable; consequently, the smaller the p value, the more we consider the alternative hypothesis to be probable (i.e., that the groups are indeed different) [14].
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Why do you want a lower p-value?

The smaller the p-value, the greater the evidence against the null hypothesis. Thus, if the investor finds that the p-value is 0.001, there is strong evidence against the null hypothesis, and the investor can confidently conclude that the portfolio's returns and the S&P 500's returns are not equivalent.
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Do you want a small p-value?

When there is a meaningful null hypothesis, the strength of evidence against it should be indexed by the P value. The smaller the P value, the stronger is the evidence.
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What does small p represent?

The lower the p-value is, the lower the probability of getting that result if the null hypothesis were true. A result is said to be statistically significant if it allows us to reject the null hypothesis. All other things being equal, smaller p-values are taken as stronger evidence against the null hypothesis.
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p-values: What they are and how to interpret them

What is the purpose with a small p?

purpose (intentional small p) is individual and personal. It's being a diligent worker, a loving parent, a helpful neighbor. Although only a few people will see these deeds, they too are world-changing, just on a much smaller scale. Your purpose in the small things makes a difference to those you are impacting.
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How do you interpret a small p-value?

A small p-value means that it's greater than chance alone, something happened; the test is significant. Whereas a large p-value indicates that the result is within chance or normal sampling error, or in other words nothing happened, the test is not significant. And p values range from 0 to 1.
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What to do if p-value is very small?

Answer: In case of very small p-values, the convention is to write it as p<0.001. Some journals mention this in the author guidelines. For example, the New England Journal of Medicine (NEJM), also states that p-values smaller than 0.001 should be reported as P<0.001.
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What does a 0.02 p-value mean?

The smaller the p-value the greater the discrepancy: “If p is between 0.1 and 0.9, there is certainly no reason to suspect the hypothesis tested, but if it is below 0.02, it strongly indicates that the hypothesis fails to account for the entire facts.
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Do you want a large p-value?

Typically, you want p-values that are less than your significance levels (e.g., 0.05) because it indicates your sample evidence is strong enough to conclude that Method A is better than Method B for the entire population.
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What the p-value really tells us?

The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.
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What does p 0.01 mean?

A P-value of 0.01 infers, assuming the postulated null hypothesis is correct, any difference seen (or an even bigger “more extreme” difference) in the observed results would occur 1 in 100 (or 1%) of the times a study was repeated.
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How do you explain p-value to non-technicians?

The p-value is like the strength of the evidence against this defendant. A low p-value is similar to finding clear fingerprints at the scene — it suggests strong evidence against your hypothesis, indicating that your new feature might indeed be making a difference.
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Does small p-value mean large effect size?

While a P value can inform the reader whether an effect exists, the P value will not reveal the size of the effect.
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Why does a small p-value mean to reject the null hypothesis?

Accordingly, a large p-value lends support to the assertion of a correct null hypothesis. Hence, larger p-values result in failure to reject the null hypothesis. Conversely, a small p-value means that there is a lesser chance that the data support the null hypothesis.
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Why is a smaller significance level better?

A lower significance level (e.g., 0.01) reduces the risk of false positives but may require larger sample sizes. A higher significance level (e.g., 0.05) increases the power to detect genuine effects but also increases the chance of false positives.
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Is 0.5 a good p-value?

A P-value less than 0.5 is statistically significant, while a value higher than 0.5 indicates the null hypothesis is true; hence it is not statistically significant.
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What does a 0.000 p-value mean?

While a p-value can be extremely small, it cannot technically be absolute zero. When a p-value is reported as p = 0.000, the actual p-value is too small for the software to display. This is often interpreted as strong evidence against the null hypothesis. For p values less than 0.001, report as p < .001.
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Is 0.4 a good p-value?

A P-value of 0.4 is relatively high, indicating that there is not enough evidence to reject the null...
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Is it better to have a small p-value?

In summary, smaller p-values indicate that the observed data is less likely under the null hypothesis, providing stronger evidence against it. Conversely, larger p-values suggest that the data is more compatible with the null hypothesis, indicating weaker evidence against it.
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Can p-value ever be 0?

The P value can't be zero.
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What happens if the p-value is smaller than the significance level?

If your P value is less than the chosen significance level then you reject the null hypothesis i.e. accept that your sample gives reasonable evidence to support the alternative hypothesis.
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What is the value of small p?

Using the confidence interval to interpret a small P value

If the P value is less than 0.05, then the 95% confidence interval will not contain zero (when comparing two means).
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What is a small p-value example?

Thus, a small P value (for example, P = 0.05) merely tells us that an improbable event has occurred in the context of this assumption. The degree of improbability is evidence against H and supports the alternative hypothesis that the sample actually comes from a population whose mean is different than μ.
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What does a smaller p-value indicate regarding your results?

The smaller the p-value in a particular research, the greater the statistical significance of its assertions. Moreover, the p-value signifies the likelihood, within a given statistical model, that the statistical summary would be equal to or more extreme than the observed results if the null hypothesis is true.
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