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I'm working in a marketing context, where emails are regularly sent to our customers inviting them to perform certain activities that will help their business. I'm looking for a suitable word that describes the probability that a given customer will act upon our recommendation; some words that have been proposed are "propensity" or "conversion" but I don't find these to be right.

For example,

When we send emails to segment X of our customers inviting them to update their profile picture, the (probability of success? action propensity? conversion rate?) is 43%.

  • Response rate? Acceptance rate? Success rate? Uptake? – Roaring Fish Aug 20 '18 at 23:07
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"When we send emails to segment X of our customers inviting them to update their profile picture, the adoption rate is 43%."

From Merriam-Webster's definition of adoption:

: the act of adopting : the state of being adopted

And adopt:

2 : to take up and practice or use • adopted a moderate tone
3 : to accept formally and put into effect • adopt a constitutional amendment

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Consider using the term uptake. I’ve selected a couple of examples from the dictionary entry that use the term with a percentage.

uptake noun The action of taking up or making use of something that is available. ‘He welcomed the recent improved uptake in the MMR vaccine, which currently stands at around 77% of the target population.’ ‘It also says that free school meal uptake at primary school level is 17.9%, but nearly 22% of children are eligible.’ - ODO

To address the probability factor, you can apply terms of uncertainty between uptake and the percentage quoted.

Your sample sentence would look like this:

  • When we send emails to segment X of our customers inviting them to update their profile picture, the uptake is usually about 43%.
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There are many ways of expressing this; Positive Response Rate is easily understood and seems to be quite popular.

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A word which I think fits your need:

"compliance" means to comply:

comply
1. To act in accordance with another's command, request, rule, or wish.
American Heritage Dictionary

comply
1Act in accordance with a wish or command.
Oxford Living Dictionaries

To the extent that your suggestion is a request, wish or recommendation, for someone to follow your request and take action based off it is, as per the definition, to comply.

Therefore, I think the word that's good for you is simply "compliance"

When we send emails to segment X of our customers inviting them to update their profile picture, the ( compliance / compliance rate) is 43%.

  • The OP is asking about an emailed invitation. Compliance is a response to an instruction or command, so it doesn’t really work here. – Roaring Fish Aug 20 '18 at 23:05

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