statistics - Choosing $H_0$ and $H_a$ in hypothesis testing ...
With the rationale that H0 must include the equality, which in this case is greater or equal to 30%. Her solution than failed to reject the null hypothesis and concluded that the researcher's claim is …
What is the probability of a null-hypothesis being True?
Feb 11, 2021 · Can we say anything about the probability of H0 being true in such case? Since H0 and H1 are mutually exclusive, and in the case of not rejecting H0, the probability of H1 is very small …
How old is the universe? - NASA
Jul 21, 2023 · The Hubble constant (H0) is a measure of the current expansion rate of the universe. Cosmologists use this measurement to extrapolate back to the Big Bang, the explosion which …
Why do we reject the null hypothesis if p-value can be defined as the ...
Sep 20, 2022 · This means that if the p-value is very low, we have seen something so extreme that we wouldn't normally expect such a thing under the null hypothesis, and therefore we reject the H0. The …
Frequentist vs bayesian and P (data | H0) vs P (H0 - Cross Validated
Jul 20, 2021 · I understand that I'm comparing expected values but, as far as I understood, in the z-test I'm getting the prob that H0 is true given the differences of means (and std), while in the bayesian …
Why must a null hypothesis contain equality? - Cross Validated
Why would you want to reject a hull hypothesis in favour of an alternative that has a rejection probability that isn't higher? The idea of tests is that you collect evidence in favour of the alternative from …
Hypothesis testing. Why center the sampling distribution on H0?
Jun 24, 2016 · If one would instead use the sampling distribution of the statistic, i.e. center the distribution on the sample statistic, then hypothesis testing would correspond to estimating the …
Rejecting $H_0$ means accepting $H_1$? - Cross Validated
Apr 27, 2018 · Rejecting H0 doesn't necessarily mean you must actually believe H1 is true, but it might be that you choose to act as if it were. Rejection of a hypothesis implies that it's inconsistent with the …
t test - "Accept null hypothesis" or "fail to reject the null ...
The real problem is that we really want to know the probability that H0 is true, which a frequentist test can't give us, so it is a good idea to avoid terminology that could be interpreted that way, I like "fail to …
hypothesis testing - Is it okay to interpret P values as a probability ...
Jul 6, 2023 · A p-value is the probability of the observed data (or of more extreme data points), given that the null hypothesis H0 is true, defined in symbols as p (D|H0). On the same page, the authors …