MHB True or false questions involving the null hypothesis

  • Thread starter Thread starter Uniman
  • Start date Start date
Click For Summary
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.
Uniman
Messages
11
Reaction score
0
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?
 
Physics news on Phys.org
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
 
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

Similar threads

  • · Replies 24 ·
Replies
24
Views
6K
  • · Replies 43 ·
2
Replies
43
Views
5K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 20 ·
Replies
20
Views
3K
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K