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Matematikk

P-Value Calculator

P-Value Calculator

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Detailed Guide Coming Soon

We're working on a comprehensive educational guide for the P-Value Calculator in your language. The content below is shown in English.

Hva er 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.

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Formel

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

Variabelbeskrivelse

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SymbolNavnEnhetBeskrivelse
pP-valueprobability 0-1—
αSignificance levelusually 0.05—
H₀Null hypothesis—No effect/difference

Slik P-Value Calculator

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

Løste eksempler

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Eksempel 1
Gitt:z = 2.33, one-tailed test
Resultat:p = P(Z > 2.33) = 0.0099 < 0.05 — statistically significant

Praktiske anvendelser

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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-valueInterpretationEvidence against H₀
> 0.10Not significantWeak to none
0.05–0.10MarginalSome evidence
0.01–0.05SignificantModerate evidence
0.001–0.01Highly significantStrong evidence
< 0.001Very highly significantVery strong evidence

Ofte stilte spørsmål

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Q

What does p=0.03 mean?

A

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

Q

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

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

Q

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

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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
Mathematically verified
Reviewed October 2026
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