True or false questions involving the null hypothesis

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SUMMARY

The discussion clarifies key concepts surrounding the null hypothesis in statistical testing. It confirms that the null hypothesis is assumed true until evidence suggests otherwise, and a P-value greater than the significance level leads to failing to reject the null hypothesis. The alternative hypothesis is not accepted but rather inferred when the null hypothesis is rejected. Additionally, it is established that both hypotheses cannot be rejected simultaneously at a given significance level.

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  • Understanding of null and alternative hypotheses
  • Knowledge of P-values and significance levels
  • Familiarity with statistical testing terminology
  • Basic concepts of hypothesis testing in statistics
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  • Study the implications of P-values in hypothesis testing
  • Learn about Type I and Type II errors in statistical analysis
  • Explore the concept of statistical power and its relevance
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Uniman
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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
 

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