Sampuli Ahesabu Hesabu
Tafuta orodha ya ukubwa wa sampuli ya ukubwa wa ncha ya shabaha.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
This sample size calculator finds how many people you need to survey for a chosen margin of error and confidence level — the planning step before you run a poll or study. It uses the standard formula n = z²·p(1 − p) / e², where z is the critical value for the confidence level, p the expected proportion and e the target margin of error as a decimal.
When you supply a total population size it also applies a finite-population correction, n = n₀ / (1 + (n₀ − 1)/N), which lowers the required sample when you are surveying a large fraction of a small group. A table shows the sample needed at several common margins of error, and the result is always rounded up because you cannot survey a fraction of a person.
Worked example: for a 5% margin at 95% confidence with an unknown proportion (p = 0.5), n = 1.96² × 0.5 × 0.5 ÷ 0.05² = 3.8416 × 0.25 ÷ 0.0025 ≈ 384.16, so you need 385 respondents. Tightening the margin to 3% pushes that to about 1,068. The default 50% proportion gives the largest, safest sample; entering a better estimate of the true proportion reduces it.
Maswali yaliyoulizwa mara nyingi
Ukubwa wa sampuli huhesabiwaje?
The base formula is n = z²·p(1 − p) / e², where z is the confidence critical value, p the expected proportion and e the margin of error as a decimal. The result is rounded up because you cannot survey a fraction of a person.
Ni nini ulio usahihi wa usahihi wa idadi ya watu?
Wakati idadi yako ni ndogo, unahitaji majibu machache kuliko kanuni ya msingi. Masahihisho kwa = 0 / (1 + (na0 kujali 1)/N) yanapunguza kiwango cha damu kuelekea idadi ya watu ya N. Ina maana zaidi wakati sampuli hiyo ni sehemu kubwa ya jumla.
Ninahitaji watu wangapi wawe na uhakika wa kadiri ya asilimia 95?
It depends on the margin of error you can accept. At 95% confidence with a 5% margin and no prior estimate you need about 385 respondents; a 3% margin needs about 1,068 and a 1% margin about 9,604.
Kwa nini sampuli za sampuli hukusanywa?
Huwezi kuchunguza sehemu ya mtu, kwa hiyo matokeo yoyote yasiyo ya kiasi humaliziki kwa nambari yote ifuatayo.
Je, niache idadi ya watu bila kusudi lolote?
Iache kwenye sufuri (au tupu) wakati idadi ya watu ni kubwa sana au haijulikani, ambayo hutoa kiwango cha "idadi ya watu" ya walio na idadi ya watu.
Naweza kupunguzaje ukubwa unaohitajiwa wa sampuli?
Kubali kosa kubwa zaidi, tumia kiwango cha chini zaidi cha uhakika, au ongeza kiwango chako cha asilimia 50 ikiwa una kadirio la kutegemeka.
API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria
Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →
keyboard label
GET https://calculator.free/api/v1/sample-size/curl
curl "https://calculator.free/api/v1/sample-size/?conf=1.96&e=5"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/sample-size/?" + new URLSearchParams({
"conf": "1.96",
"e": "5"
}));
const data = await r.json();
console.log(data.results);Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.