60-second answer
Free shipping must replace contribution, not shipping revenue alone.
First separate customer shipping revenue from merchant fulfillment and shipping cost. Customer shipping revenue is money collected from the buyer. Merchant cost is what the business pays to pick, pack, and deliver the order. Free shipping removes the former; it does not erase the latter.
Calculate contribution per regular order and per free-shipping order on the same revenue, fee, return, and cost basis. Then choose one threshold that matches the test design:
Required order lift = regular contribution / free-shipping contribution - 1
Required CVR = baseline CVR x regular contribution / free-shipping contribution
Required merchandise AOV solves: free-shipping contribution = regular contribution
The order-lift and CVR thresholds are equivalent only when traffic stays constant. The AOV threshold is a different path to the same contribution goal; do not assume all three lifts happen or add them together.
Open the $86 to $80 free-shipping scenario