When comparing lists, elements at the beginning of the list are considered more significant than the elements following (similar to characters in a string). When comparing lists of different lengths but equal elements, the longer list is considered greater (see examples).
If you think about it, considering the probability of committing a Type II error is quite similar to looking at a glass that is half empty. That is, rather than considering the probability that the engineer commits an error, perhaps we could consider the probability that the engineer makes the correct decision. Doing so, involves calculating what is called the power of the hypothesis test.
Simple hypothesis testing (practice) | Khan Academy
A simple random sample is similar to a random sample. The difference between the two is that with a simple random sample, each object in the population has an equal chance of being chosen. With random sampling, each object does not necessarily have an equal chance of being chosen. Unequal probability sampling isn’t usually addressed in basic statistics courses, but if you’re interested in an example of when it might be used, read
Positivism - Simple English Wikipedia, the free …
A larger population might be “All people who have had in the United States.” That list of participants would be extremely hard to obtain. Where would you get such a list in the first place? You could contact individual hospitals (of which there are thousands and thousands…) and ask for a list of patients (would they even supply you with that information? If you could somehow obtain this list then you will end up with a list of 800,000 people which you then have to put into a “bowl” of some sort and choose random people for your sample. This type of situation is the type of real-life situation you’ll come across and is what makes getting a simple random sample so hard to undertake.
The Transcension Hypothesis, John M. Smart, 2011
However, it is not possible to come up with an example for each cell of these matrices because it is not possible to propose a non-directional and causal hypothesis.
What causes gravity - dark energy, the new aether
at a value of the parameter under the alternative hypothesis that is scientifically meaningful"total blood cholesterol is greater than 200 mg/dl. Well, the alternative hypothesis contains an infinite number of possible values of the mean. Under the alternative hypothesis, the mean of the population could be, among other values, 201, 202, or 210. Suppose the medical researcher rejected the null hypothesis, because the mean was 201. Whoopdy-do...would that be a rocking conclusion? No, probably not. On the other hand, suppose the medical researcher rejected the null hypothesis, because the mean was 215. In that case, the mean is substantially different enough from the assumed mean under the null hypothesis, that we'd probably get excited about the result. In summary, in this example, we could probably all agree to consider a mean of 215 to be "scientifically meaningful," whereas we could not do the same for a mean of 201.
What is a Hypothesis? - Definition & Explanation - …
The transcension hypothesis proposes that a universal process of evolutionary development guides all sufficiently advanced civilizations into what may be called "inner space," a computationally optimal domain of increasingly dense, productive, miniaturized, and efficient scales of space, time, energy, and matter, and eventually, to a black-hole-like destination.