Kalkulator Kesalahan Margin
Kaca iki ngenani margin kesalahan saka proporsi survey.
Hasil dioptimalake nalika sampeyan ngetik.
Ngendi kalkulator iki
a percentage 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. The default 50% proportion gives the most conservative margin, becauseItWorked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points.ItWorked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points.ItWorked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points.ItWorked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.5 ÷ 1000 ≈ 1.96 ≈
Takon kang asring diajukake
Apa kang dadi sebabé yèn ana wong kang ora bisa ngrampungake tugasé?
Margin ngurangi kanthi akèh kuadrat saka ukuran sampel, saéngga ngéléhake n setengah margin kesalahan. Kembalian kang kurang iki ya iku sebabé sampel sing gedhe banget perlu kanggo nyelehake margin ing ngisor siji utawa loro poin persentase.
50% saking populasi punika tiyang ingkang sampun nyambut damel.
Kuantitas p(1 − p) paling ageng ing p = 0.5, dados dipunanggep 50/50 pisah dados margin kesalahan ingkang paling lega lan paling konservatif. Nggunakaken punika ngamanaken margin nyata boten langkung ageng saking ingkang dipunlaporaken.
Kepiye aku bisa ngitung margin kesalahan?
Ing taun 2007, angkané 1.500.000 jiwa, lan populasiné 1.500.000 jiwa, kanthi rata-rata umur 55 taun, lan rata-rata tingkat kaséhatan 95,5% (2007).
Apa bedane antarané margin kesalahan lan interval konfidence?
Margin kesalahan iku setengah-lebar; interval kawicaksanan iku watara lengkap kang sampeyan lakoni kanthi nambah lan ngurangi margin saka asil sampeyan. Hasil 48% karo margin3puncak mènèhi interval kawicaksanan saka 45% nganti 51%.
Apa populasi kang luwih gedhé mbutuhaké margin kesalahan kang luwih gedhé?
Ora. Saliyané sawetara ewu wong ukuran populasi ora mengaruhi margin - apa sing penting yaiku ukuran sampel. Ya iku sebabé survey nasional lan survey kutha bisa nyambung margin sing padha karo jumlah responden sing padha.
Kepiye tingkat kawicaksanan bisa ngganti margin kesalahan?
Tingkat kawicaksanan ingkang langkung dhuwur punika gadhah z* ingkang langkung ageng, ingkang nglenggahi margin. Nglenggahi saking 95% (z* = 1. 96) kanggé 99% (z* = 2. 576) nglenggahi margin kanthi kirang langkung 31% kanggé sampel ingkang sami.
API — gunakake kalkulator iki saka kode
Panggenan kalkulator iki minangka titik pungkasan JSON gratis - ora ana kunci sing dibutuhaké. Kirimi nilai medan ing ngisor iki minangka parameter pitakonan utawa JSON. Waca dokumen API lengkap →
Titik pungkasan
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);Kajaba iku, ana uga sing ora bisa gawé gawéan, kaya ta dokter, insinyur, lan liya-liyané.