The null hypothesis for the dependent t-test is essentially the same as
) |
Null hypothesis for a 1 group t-test |
B) |
The effect size |
C) |
Null hypothesis for a Z-score hypothesis test |
D) |
Null hypothesis for a two independent groups t- test |
Option D is correct.
( The reason is, in two independent group x and y t test, we test the hypothesis :
H0 : Xbar - Ybar = 0
v/s H1:xbar - ybar not equal to zero
That is we check
H0 : the two groups have same average values.
V/s H1 : two groups have different average values.
In depedent t test (paired t test),
We check
H0 : difference between the values is 0
V/s H1 : difference between the values is present
H0 : d = 0 v/s H1 : d > 0 or < 0
That is checking average of difference is 0 or not,
These hypthesis are similar and deals with same purpose.
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