Resample by hand

Draw bootstrap resamples from the 30-item set

21 of 30 graded outputs are correct (emerald), 9 are incorrect (rose): point estimate accuracy 0.70. Each resample draws 30 items WITH REPLACEMENT and recomputes accuracy.

Draw 1 picks 30 indices with replacement and highlights which items landed (a black ring; a badge shows how many times an item was picked). Draw 10,000 runs a full bootstrap instantly and reads off the 95% interval.
No resamples drawn yet. Click Draw 1 resample to start.

Distribution of replicate accuracies so far

0/3015/3030/30
Draws so far
0
Mean
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95% CI
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Width
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Width vs sample size

Same 0.70 accuracy, wider or narrower interval

Tile the same 21/30 set to a bigger n and bootstrap it again (3,000 resamples). The interval should stay centered near 0.70 and shrink as n grows.

n
30
95% CI
—
Width
—

At n=30 the companion script's full 10,000-replicate bootstrap reads 95% CI = [0.5333, 0.8667], width 0.3333. Tiling to n=120 halves the width to about 0.1667; tiling to n=480 halves it again to about 0.0833. This panel uses 3,000 live resamples per setting, so its numbers will land close to, but not always bit-identical to, that fixed-seed run.