What are the two types of hypotheses used in a hypothesis test? How are they related?
A research hypothesis and a 'null-hypothesis'
Essentially, a research hypothesis is an educated guess as to what is thought to happen during an experiment; it is what the researchers are trying to 'prove'.
A null hypothesis is a claim that contradicts the research hypothesis; in other words, it typically asserts that there is no connection between the variables that were altered during the experiment and the experiment's conclusion.
When wrapping up their investigation, researchers (should!) mention their null hypothesis and indicate whether or not they were able to refute it.
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The two types of hypotheses used in a hypothesis test are the null hypothesis (H0) and the alternative hypothesis (H1). They are related in that they represent two competing explanations or predictions about the population parameter being tested. The null hypothesis typically states that there is no effect or no difference, while the alternative hypothesis proposes that there is an effect or a difference.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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