A common mistake many statistics students make is saying we "accept the null" or " prove the null" instead of "fail to reject the null". Question: Explain why "failing to reject the null" is not the...

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A common mistake many statistics students make is saying we "accept the null" or " prove the null" instead of "fail to reject the null".

Question: Explain why "failing to reject the null" is not the same as "accepting the null". Support the statement that your claim should be worded so that what you want tested will be in the alternative hypothesis.

http://liesandstats.wordpress.com/2008/10/25/you-cant-prove-the-null-by-not-rejecting-it/. "You Can't Prove the Null by Not Rejecting It"

Answered Same DayDec 22, 2021

Answer To: A common mistake many statistics students make is saying we "accept the null" or " prove the null"...

Robert answered on Dec 22 2021

127 Votes

Solution:
When we test a null hypothesis we test it based on assuming, that it is true i.e. accept it to
be true in the first case, which we may know is not, and as such set up the alternative
accordingly. Then we try to build a case where we try to reject the null so that we could
prove it’s’ invalidity and hence accept the alternative instead. However it is possible that
we may not have enough evidence to reject it. This means that we have failed to reject...

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A common mistake many statistics students make is saying we "accept the null" or " prove the null" instead of "fail to reject the null". Question: Explain why "failing to reject the null" is not the...

Answer To: A common mistake many statistics students make is saying we "accept the null" or " prove the null"...

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