Margin of Error Calculator
Temukake margin kesalahan saka proporsi survey.
Hasilne bakal dioptimalake nalika sampeyan ngetik.
Ngenai kalkulator iki
a ratio it is z*·√(p(1 − p) / n), where p is the sample proportion, n the sample size and z* the critical value for your confidence level (1.96 for 95%). The default 50% proportion gives the most conservative (largest) margin, because the quantity p(1 − p) peaks at p = 0.5, which is why pollsters often quote it. To halve that margin you would need roughly four times the sample. To halve that margin you would need roughly four times the sample.The margin of error reports the margin of error, the confidence-interval, and the total number of respondents in the survey.The margin of error reports the margin of error.ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:ItWorked example:
Takon-takon kang kerep diajukake
Mengapa sampel yang lebih besar menurunkan margin kesalahan?
Margin ngurangan ku akar kuadrat ukuran sampel, jadi ngahijikeun n jadi opat kalina ngaleuwihan margin kasalahan. Kauntungan anu ngaleutikan ieu sabab sampel anu gedé diperlukeun pikeun ngurangan margin ka handapeun hiji atawa dua poin persentase.
Mengapa 50% proporsi default?
Kuantitas p(1 − p) panggedéna di p = 0.5, jadi lamun diitung hiji 50/50 dibagi bakal ngahasilkeun margin kasalahan pangleutikna, paling konservatif. Ngagunakeunana ngajamin margin anu bener henteu langkung ageung tibatan anu dilaporkeun.
Carane aku ngitung margin kesalahan?
Kacalikan nilai kritis z* pikeun tingkat kapastian anjeun ku akar kuadrat p(1 − p) ÷ n. Kanggo p = 0.5, n = 1000 lan kapastian 95%, nyaéta 1.96 × √(0.25 ÷ 1000) ≈ 3.1 poin persentase.
Apa bedane antara margin kesalahan lan interval kepercayaan?
Margin kesalahan iku setengah-lebar; interval kepercayaan iku watara lengkap sing sampeyan entuk kanthi nambah lan ngilang margin saka asil sampeyan. Hasil 48% karo margin 3-poin menehi interval kepercayaan saka 45% nganti 51%.
Apa populasi sing luwih gedhe mbutuhake margin kesalahan sing luwih gedhe?
No. Luwih ti sababaraha ribu jalma ukuran populasi teu mangaruhan margin - naon pentingna nyaéta ukuran sampel. Éta sababna hiji polling nasional jeung polling kota bisa babagi margin sarua jeung jumlah anu sami tina responden.
Carane tingkat kepercayaan bisa ngganti margin kesalahan?
Tingkat percayaan anu langkung luhur nganggo z* anu langkung ageung, anu ngalegaan margin. Ngaliput ti 95% (z* = 1.96) ka 99% (z* = 2.576) naekeun margin ku sakitar 31% pikeun sampel anu sami.
API — gunakake kalkulator iki saka kode
Ngadongékeun kalkulator ieu minangka titik akhir JSON bébas — teu peryogi kunci. Kirim nilai medan di handapeun minangka parameter pitakonan atawa JSON. Waca dokumen lengkap API →
Tampilan
GET https://calculator.free/api/v1/margin-of-error/curl
curl "https://calculator.free/api/v1/margin-of-error/?n=1000&p=50&conf=1.96"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/margin-of-error/?" + new URLSearchParams({
"n": "1000",
"p": "50",
"conf": "1.96"
}));
const data = await r.json();
console.log(data.results);Hasilna nyaéta perkiraan pikeun pituduh umum, henteu saran finansial, médis atanapi pajak.