For a two tailed hypothesis evaluating a Pearson correlation, the null hypothesis states that :
The population correlation is zero.
Null hypothesis:
H0 : ρ = 0
Alternative hypothesis:
Ha : ρ ≠ 0
Thus,
The population correlation is zero.
What does the term "null hypothesis" mean?
The null hypothesis is a common statistical theory that asserts that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
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