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I want to launch surveys on very specific binary questions with low "Yes" answer rate, for example Do you have a Ferrari ?, Did you buy a Chanel bag ?

I'm able to do that on at least 20 different websites from different categories, like a finance forum or gaming platform.

+---------+-------+------+
| Website | % Yes | % No |
+---------+-------+------+
| A       | 15%   | 85%  |
| B       | 10%   | 90%  |
| C       | 7%    | 93%  |
+---------+-------+------+

For each website i have a set of keywords describing the website with a score.

+---------+----------+-------+
| Website | Keyword  | Score |
+---------+----------+-------+
| A       | Finance  | 0,9   |
| A       | Business | 0,6   |
| C       | Gaming   | 0,8   |
+---------+----------+-------+

My end goal is to be able to score the keywords for the people which answered yes. On the example tables above, i would like to output a sort of ranking which will give the keyword finance above the keyword gaming.

My questions are :

  • Is there a sort of ranking methodology or formula i can use ?

  • How can i estimate the minimum sample size ? i think this question can be split in two questions

    • How can i determine the minimum number of answer for each website to have a relevant percentage of yes and no
    • How can i determine the minimum number of different websites to diffuse the survey to have relevant keyword output

Thank you

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