MHB True or false questions involving the null hypothesis

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The null hypothesis is assumed true until evidence suggests otherwise. A P-value greater than the significance level leads to failing to reject the null hypothesis, not confirming it as true. Rejecting the null hypothesis does not mean the alternative hypothesis is accepted; it simply indicates the null is rejected. Both hypotheses cannot be rejected simultaneously at a significance level. A P-value less than the significance level results in rejecting the null hypothesis.
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1) The null hypothesis represents the condition that will be assumed to be true unless sufficient
evidence is presented to show that the condition has changed.

True.

2) A P-value greater than the chosen level of significance results in concluding the null hypothesis is
true.

True.

3) The alternative hypothesis will be accepted to be true if the null hypothesis is rejected.

True.

4) Sometimes both the null and alternative hypotheses can be rejected at a level of
significance.

False.

5) A P-value less than the chosen level of significance results in rejecting the null hypothesis.

True.

Am I right or wrong?
 
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Re: True or false

Uniman said:
1) The null hypothesis represents the condition that will be assumed to be true unless sufficient
evidence is presented to show that the condition has changed.

True.



Correct
Uniman said:
2) A P-value greater than the chosen level of significance results in concluding the null hypothesis is
true.

True.



Yes, but we say "we fail to reject the null hypothesis", we don't say the null hypothesis is true
Uniman said:
3) The alternative hypothesis will be accepted to be true if the null hypothesis is rejected.

True.



No, we don't accept the alternate hypothesis, we reject the null hypothesis. It's all in the words we use.

Uniman said:
4) Sometimes both the null and alternative hypotheses can be rejected at a level of
significance.

False.



correct

Uniman said:
5) A P-value less than the chosen level of significance results in rejecting the null hypothesis.

True.
Uniman said:



correct
 
Hello, I'm joining this forum to ask two questions which have nagged me for some time. They both are presumed obvious, yet don't make sense to me. Nobody will explain their positions, which is...uh...aka science. I also have a thread for the other question. But this one involves probability, known as the Monty Hall Problem. Please see any number of YouTube videos on this for an explanation, I'll leave it to them to explain it. I question the predicate of all those who answer this...
I'm taking a look at intuitionistic propositional logic (IPL). Basically it exclude Double Negation Elimination (DNE) from the set of axiom schemas replacing it with Ex falso quodlibet: ⊥ → p for any proposition p (including both atomic and composite propositions). In IPL, for instance, the Law of Excluded Middle (LEM) p ∨ ¬p is no longer a theorem. My question: aside from the logic formal perspective, is IPL supposed to model/address some specific "kind of world" ? Thanks.

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