Question: The click-through rate for the blue button was 52% versus 72% for the green, but the sample size is not given. Assume that theres a

The click-through rate for the blue button was 52% versus 72% for the green, but the sample size is not given. Assume that there’s a total of 25 people who reached each web page. Hence, 0.52*25 = 13 people clicked through for the blue button, while 0.72*25 = 18 people clicked through for the green button. This can be summarised by a 2-by-2 table of counts.

Clicked button

Didn’t click button

Blue button

13

12

Green button

18

7


Using chip 2_contingency() and fisher_exact() from scipy stats, perform a test of independence for this table. Is there evidence that the green button has a statistically significantly higher click-through rate?

B. Redo the above analysis by assuming that 100 people reached the blue-button web page with 52% clicking, and 100 reached the green-button version with 72% clicking. Now is there evidence that the green button has a statistically significantly higher click-through rate?

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