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P-Value Calculator

Z-score (test statistic)

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అంటే ఏమిటి P-Value Calculator?

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A p-value calculator computes the probability of obtaining results at least as extreme as observed, assuming the null hypothesis is true. A small p-value (< 0.05) suggests evidence against H₀.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

సూత్రం

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f(x)p-value = P(observing result this extreme | H₀ is true); Significant if p < α (usually 0.05)

వేరియబుల్ వివరణ

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చిహ్నం	పేరు	యూనిట్	వివరణ
p	P-value	probability 0-1	—
α	Significance level	usually 0.05	—
H₀	Null hypothesis	—	No effect/difference

ఎలా P-Value Calculator

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1p-value < α: reject H₀ (result is "statistically significant")
2p-value ≥ α: fail to reject H₀ (insufficient evidence)
3One-tailed: directional hypothesis; two-tailed: any difference
4p-value does NOT equal the probability that H₀ is true

పరిష్కరించిన ఉదాహరణలు

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ఉదాహరణ 1

ఇవ్వబడింది:z = 2.33, one-tailed test

ఫలితం:p = P(Z > 2.33) = 0.0099 < 0.05 — statistically significant

నిజ జీవిత అనువర్తనాలు

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Medical research and clinical trials

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A/B testing in digital products

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Quality control statistics

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Social science research

p-value Interpretation

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p-value	Interpretation	Evidence against H₀
> 0.10	Not significant	Weak to none
0.05–0.10	Marginal	Some evidence
0.01–0.05	Significant	Moderate evidence
0.001–0.01	Highly significant	Strong evidence
< 0.001	Very highly significant	Very strong evidence

తరచుగా అడిగే ప్రశ్నలు

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What does p=0.03 mean?

3% probability of observing this result if null hypothesis is true. Common threshold: p<0.05 = "statistically significant".

Does p<0.05 mean 95% chance the result is real?

No. Common misunderstanding. p<0.05 means 5% chance of this result under null hypothesis. Doesn't measure probability hypothesis is true.

When should I use p<0.05 vs p<0.01?

p<0.05 standard. p<0.01 for stricter standards (medical, critical). p<0.10 exploratory research.

Regional Guides

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Academic Science▾

p<0.05 standard; p<0.01 stricter; p<0.001 very strong

Medical Research▾

p<0.05 typical; phase III trials often p<0.001

Bayesian approach▾

Uses credible intervals instead of p-values

సూచనలు

›p-value — Khan Academy

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Reviewed October 2026

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P-Value Calculator