63trust / 100

Sample Size

by Math and Statistics in Other

x402 APIPassing, checked 5 h ago

Required sample size for a survey (margin of error, optional finite population) or an A/B test (baseline, lift, power).

GET
https://math-stats.x402tookit.com/sample-size
Price
$0.02
per call in USDC
Uptime
70.0%
last 30 days
Response time
521 ms
1.1 s slowest 5%
Last check
Passed
5 h ago, next in 1 h

Run a free test callHow to call it

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How to call it

GET https://math-stats.x402tookit.com/sample-size

Each call costs $0.02 in USDC on Polygon, paid with the request over x402.

Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.

Example request

From the listing.

GET https://math-stats.x402tookit.com/sample-size?confidence=0.95&margin=0.05&mode=survey

Parameters

ParameterTypeRequiredDescription
baselinenumberNoA/B baseline conversion rate, e.g. 0.10
confidencenumberNo0.80 to 0.999 (default 0.95)
marginnumberNoSurvey margin of error as a fraction, e.g. 0.05
modestringYessurvey or ab
populationnumberNoSurvey population size (optional, for finite correction)
powernumberNoA/B power 0.5 to 0.99 (default 0.8)
proportionnumberNoExpected proportion for a survey (default 0.5)
targetnumberNoA/B rate you want to detect, e.g. 0.12

Example response

The provider's example. We can't check it without paying.

{
  "asOf": "2026-10-11T06:26:07.367Z",
  "confidence": 0.95,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "finitePopulationApplied": false,
  "margin": 0.05,
  "notChecked": [
    "non-response (inflate the survey size by 1 / expected response rate)",
    "design effects from clustering or weighting",
    "…2 more"
  ],
  "proportion": 0.5,
  "reasons": [
    "Uses n = z squared times p(1-p) over margin squared; p = 0.5 is the worst case.",
    "Divide by your expected response rate to know how many people to invite."
  ],
  "required": 385,
  "source": "computed locally",
  "summary": "Survey for +/-5 points at 95% confidence (p=0.5): 385 respondents.",
  "unroundedInfinitePopulation": 384.146,
  "verdict": "SURVEY_SIZE",
  "z": 1.959964
}

Call it from code

The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.

curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://math-stats.x402tookit.com/sample-size?confidence=0.95&margin=0.05&mode=survey'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://math-stats.x402tookit.com/sample-size?confidence=0.95&margin=0.05&mode=survey' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode
JavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fmath-stats.x402tookit.com%2Fsample-size
const res = await pay("https://math-stats.x402tookit.com/sample-size?confidence=0.95&margin=0.05&mode=survey");
console.log(res.status, await res.text());
Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://math-stats.x402tookit.com/sample-size?confidence=0.95&margin=0.05&mode=survey")
    print(res.status_code, res.text)

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