True or false questions involving the null hypothesis

  • MHB
  • Thread starter Uniman
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In summary, the null hypothesis is assumed to be true unless there is sufficient evidence to show otherwise. A P-value greater than the chosen level of significance means we fail to reject the null hypothesis. The alternative hypothesis is not accepted, but rather the null hypothesis is rejected. Both the null and alternative hypotheses cannot be rejected at the same time. Finally, a P-value less than the chosen level of significance results in rejecting the null hypothesis.
  • #1
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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  • #2
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.

correct
 

FAQ: True or false questions involving the null hypothesis

What is the purpose of a null hypothesis in a true or false question?

The null hypothesis is the default position that there is no significant difference or relationship between two variables. In a true or false question, the null hypothesis serves as the starting point for the analysis and allows for the evaluation of evidence to either reject or fail to reject it.

How is a null hypothesis determined in a true or false question?

The null hypothesis is typically derived from existing theories or past research, and is based on the belief that there is no significant difference or relationship between the variables being studied. It should be specific, testable, and mutually exclusive from the alternative hypothesis.

Can the null hypothesis be proven to be true or false?

No, the null hypothesis can only be rejected or fail to be rejected based on the evidence collected. This is because in statistics, it is impossible to prove something to be true or false with absolute certainty. The goal is to provide evidence that supports or refutes the null hypothesis.

How does the p-value relate to the null hypothesis in a true or false question?

The p-value is a measure of the probability of obtaining the observed results or more extreme results if the null hypothesis is true. In a true or false question, a low p-value indicates that the observed results are unlikely to have occurred by chance alone, and the null hypothesis can be rejected in favor of the alternative hypothesis.

What is the significance level in a true or false question involving the null hypothesis?

The significance level, commonly denoted as α, is the threshold used to determine whether the null hypothesis should be rejected or failed to be rejected. It is typically set at 0.05 or 5%, meaning that if the p-value is less than 0.05, the null hypothesis can be rejected in favor of the alternative hypothesis.

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