Answer for P-value calculation with two opposite Null hypothesis

https://365datascience.com/dwqa-answer/answer-for-p-value-calculation-with-two-opposite-null-hypothesis/ -

Hi Gergely,

In both cases we say we fail to reject the null.

This may sound strange to you, however, it means that “whatever we were trying to test – we failed”. The result is not satisfactory for us to claim one is correct and the other is wrong. 

The reason for that is that the open rate is likely to be exactly 40% (or very close to it). As such, it is very hard for us “prove” that it is bigger or smaller than 40%. “Statistically” speaking it is impossible to make this claim.

Sometimes this happens due to a big variance or small sample size. 

Hope this helps!

Best,

Iliya

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