Question

State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed of symbols:

Testing to see if there is evidence that the correlation between two variables is negative.

H0: _____ vs Ha: ______

Answer 1

Solution:

Correlation is said to be negative if the correlation coefficient < 0

Range of is -1    1

Claim : there is evidence that the correlation between two variables is negative.

So hypothesis can be written as

H₀ :    0 vs H_a : < 0

{ Valid signs in H0 are = , and

Valid signs in H1 are , < and >

}