I-margin yephutha le-calculator

Thola umkhawulo wephutha lohlelo lokucwaninga.

%
Iphesenti eliphendula ngendlela ehlukile. 50% liyizinga eliphakeme kakhulu.
I-margin yephutha —
Izinga eliphansi —
Isibopho esiphezulu —
Ububanzi besikhathi —

Iziphetho zivuselelwa uma ubhala.

Malunga nale khadi

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, because the percentage is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points. The margin of error is 1.96%.WorkedWork

Imibuzo ebuzwa kaningi

Kungani isibonisi esincane sikhuphula umkhawulo wephutha?

Umkhawulo uncane nge-square root yesayizi yesampula, ngakho-ke ukuphinda kabili n uhlukanise umkhawulo wephutha. Lo mkhawulo oncane ubuyisela isampula enkulu edingekayo ukucindezela umkhawulo ngaphansi kwengxenye eyodwa noma ezimbili zezinhlamvu zephesenti.

Kungani 50% ibanga elizenzakalelayo?

Ubukhulu p(1 − p) bukhulu ku p = 0.5, ngakho-ke ukucabanga ukuthi 50/50 ukuhlukaniswa kwenza okubanzi kakhulu, okuningi okulondolozayo ibanga lephutha. Ukusebenzisa lokhu kuqinisekiswa ukuthi ibanga eliqiniso alikho likhulu kunalelo elishicilelwe.

Ngiyibala kanjani ibanga lephutha?

Ukuphindaphinda ixabiso elibalulekile z * lomgangatho wakho wokuba nesiqiniseko ngesisekelo esingu-square se-p (1 − p) ÷ n. U-p = 0.5, n = 1000 no-95% uqiniseko, okuwu-1.96 × √ (0.25 ÷ 1000) ≈ 3.1 amaphuzu engxenyeni yonyaka.

Yini ushintsho phakathi kwe-margin yephutha nesikhathi sokwethemba?

I-margin yephutha yingxenye yobubanzi; ibanga lokuzithemba liyindawo egcwele othola ngayo ngokungeza nokususa i-margin kusuka emiphumela yakho. I-48% yemiphumela ene-3-point margin inikeza ibanga lokuzithemba le-45% kuya ku-51%.

Ingabe inani elikhulu lentuthuko lidinga ibanga elikhulu lephutha?

Akunakwenzeka. Uma abantu abangaphezu kwamawaka ambalwa, ubukhulu beqembu lincane kakhulu, futhi alithintanga ibanga eliphakathi — okubalulekile wubukhulu besampula. Lokhu kusho ukuthi ucwaningo lwezwe kanye nocwaningo lwedolobha zingaba nebanga elifanayo, futhi zithole inani elifanayo labantu abaphendulayo.

Indlela ibanga lokuzithemba lishintsha ngayo ibanga lephutha?

Izinga eliphakeme lokuzithemba lisebenzisa i-z* enkulu, ebanzisa umkhawulo. Ukusuka ku-95% (z* = 1.96) kuya ku-99% (z* = 2.576) kunciphisa umkhawulo ngo-31% ngesampula efanayo.

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Ingxenye yendawo

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);

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