A/B Conversion Rate

Compute the conversion rate of a control group and a treatment group in an A/B test, and the absolute lift between them. Each group is a list of 0/1 outcomes (1 = the user converted).

Implement solve(control, treatment).

Returns. Return a tuple (control_rate, treatment_rate, lift) of floats where lift = treatment_rate - control_rate. Each group must be a non-empty 1-D sequence of 0/1 values; otherwise ValueError is raised.

Examples

Example 1

Input:

solve([0, 1, 0, 0, 1], [1, 1, 0, 1, 1])

Output:

(0.4, 0.8, 0.4)

Example 2

Input:

solve([1, 0, 0, 0], [1, 0, 0, 0])

Output:

(0.25, 0.25, 0.0)

Example 3

Input:

solve([0, 2], [1, 0])

Output: Raises ValueError.