Question

In an independent sample sample t test, the researcher rejects H0 at 5% level of significance and fails to reject H0 at 1% level. Then the p-value of the test is

a.

more than 0.05

b.

less than 0,01

c.

0.01 < p < 0.05

d.

Cannot determine from given information.

Answer #1

Note that we **fail to reject the null hypothesis when the
p value is greater than significance level (alpha)**. If
**p value is less than significance level then we will reject
the null hypothesis** and accept the alternative
hypothesis.

Here, **the researcher rejects H0 at 5% level of
significance, so we can say that p value is less than 0.05
(5%).**

It is also given that **the researcher fails to reject H0
at 1% level, so we can say that in this case p value is greater
than 0.01 (1%).**

**So, p value is greater than 0.01 but less than
0.05.**

**i.e. option c. 0.01 < p < 0.05 is the correct
answer.**

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