P-Value Calculator (site na Z)

Kpọgharịa z-score ka ọbụla p-value.

P-Value —
At α = 0.05 —
Left-tailed P(Z ≤ z) —
P(Z ≥ z) nke dị n'akaekpe —
Òtù-ǹ̀tù —

Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.

Ọ bụrụ na ọbụna ọbụ

N'ihe banyere calculator a

This p-value calculator converts a z-score (the standard-normal test statistic) into a p-value — the probability of observing a result at least as extreme as yours if the null hypothesis is true. A small p-value means your data would be surprising under the null hypothesis, which counts as evidence against it.

Choose a left-tailed, right-tailed or two-tailed test; all three p-values are shown so you can compare. The left-tailed value is P(Z ≤ z), the right-tailed value is P(Z ≥ z), and the two-tailed value is 2 × P(Z ≥ |z|) — double the smaller tail. All come from the standard-normal cumulative distribution, so this tool applies to z-tests and large-sample approximations, and the result is flagged against the conventional α = 0.05 threshold.

Worked example: a z-score of 1.96 gives a right-tailed p-value of about 0.025 and a two-tailed p-value of about 0.050 — exactly the classic 5% cutoff, which is why 1.96 is the critical value for a 95% two-sided test. Since 0.05 is not below 0.05, that result sits right on the border of significance.

Ajụjụ ndị a na-ajụkarị

Gịnị bụ p-value?

Valiu p bụ ihe n'eme, na-atụle na null hypothesis bụ eziokwu, nke ịna-enweta nyocha stats na ọbụla ka n'obere dịka nke ahụ a na-ahụ. Valiu p obere pụtara na data gị ga-adị n'okpuru null hypothesis, nke bụ ihe n'eme n'ebe ahụ.

Olee otú p-value abụọ-n'akụkụ dị iche n'otu-n'akụkụ?

Nnyocha abụọ-ébètàị̀l̀ na-ébétáị̀l̀ na-ébétáị̀l̀ n'ime ụzọ abụọ, yabụ na p-value ya bụ nke abụọ na-ébètáị̀l̀ maka |z|. Jiri abụọ-ébètàị̀l̀ mgbe ị na-eche na énweghị ọdịiche, nakwa otu-ébètàị̀l̀ mgbe ị na-atụ anya ụzọ n'ihu.

Ọ bụ p < 0.05 mgbe niile dị mkpa?

0.05 bụ naanị a common convention, ọ bụghị a iwu. O pụtara a 5% ohere nke a ụgha na-atọ ụtọ. N'ihi na na mpaghara na ọnụ ahịa nke na-adịghị n'ụzọ ziri ezi, tighter thresholds dị ka 0.01 bụ mgbe ụfọdụ kasị kwesịrị ekwesị.

Olee otú m ga-esi gbanwee z-score ka p-value?

Nlegharịa n'elu mpaghara ebe nke standard-normal distribution n'ebe z-score gị. Tool a na-eme ya maka gị: left tail bụ P(Z ≤ z), right tail bụ 1 − P(Z ≤ z), na p-value abụọ-tailed na-ebido nke obere nke abụọ ahụ.

Ọ bụrụ na ọ bụ nnukwu p-value na-egosi na null hypothesis bụ eziokwu?

Ọ dịghị. A p-value dị ukwuu pụtara naanị na data gị dị n'otu na null hypothesis, ọ bụghị na null bụ ihe a gosipụtara. Ọ dịghị ihe egosi na-egbochi ya bụ ihe egosi maka ya; ị nwere ike ịna-enwe nsogbu na nha saịlọn iji chọpụta mmetụta.

Kedụ mgbe m ga-eji z-based p-value n'ebe t-based nọ?

Jiri z-based valiu mgbe a matara ụkpụrụ ndezi nke ọnụọgụgụ ma ọ bụ mgbe ọ bụ nnukwu (n'ụdị n ≥ 30). Maka ụkpụrụ ndezi nke obere na ụkpụrụ ndezi nke a ghọtara, t-distribution na-enye uru p nke dị n'ụzọ ziri ezi.

Gịnị bụ ọdịiche dị n'etiti p-value na elu nke mkpali?

Nhazi elu nke nghọta alpha bụ n'elu nke ịhazi n'ihu, dịka 0.05. p-value a na-ehazi site na data gị. I na-ewepụ null hypothesis mgbe p-value na-abanye n'okpuru alpha.

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API — jiri kaadị a site na kóòdù

Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →

Ebemkpofuozi

GET https://calculator.free/api/v1/p-value/

curl

curl "https://calculator.free/api/v1/p-value/?z=1.96&tail=two"

JavaScript fetch()

const r = await fetch(
  "https://calculator.free/api/v1/p-value/?" + new URLSearchParams({
    "z": "1.96",
    "tail": "two"
  }));
const data = await r.json();
console.log(data.results);

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