Inconsistency with H0 and H1 between video and exercise questions?
In the video example when the question "Does the competitor have a higher open rate than 40%?" the H0 was OR =< 40% and H1 was OR > 40%, which makes sense. (H1 was the representation of the question)
However, in the exercise, when asked "Is the competitors open rate 40% exactly?"... why is H1 OR != 40%
For example, when all ten observations are 40%, p-score is reduced to 0.015, which means you can reject the H0 at 5%, however... you'd be rejecting that OR = 40%, even though you can be quite confident that it is 40%
It doesn't make sense to me that the closer to 40%, the more likely you are to reject that it's 40%....
From my understanding, the p-value you provide is losing significance in it not being higher than 40%. The p-value has to have multiple zeros after the decimal to stay close to zero to have a high significance level. But there is more knowledge that is needed to understand why it is this answer as I am reviewing more.
A very interesting view, with all the ten observations being 40% and the null being rejected at 5% significance. Needed to prove it for myself and was left in wonder too.
Maybe it has something to do with the sample size - it is quite small and with an unknown population variance, there may be more uncertainty in obtaining relevant outcomes.
I would like an instructor to answer and solve this for us. :)
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