Question

What should you conclude if your p-value is greater than the level of significance (alpha)?

a) conclude that chance alone produced the observed results

b) do not reject the null hypothesis

c) accept the null hypothesis

d) accept the alternative hypothesis

Answer #1

Ans:

**a) conclude that chance alone produced the observed
results**

This is the most suitable answer.

Since large p-value implies that the results are consistent with the null hypothesis. Hence the majority of the result are due to of chance alone.

( in general options a) , b) and c) are equivalent and correct, but for better precision a) is more appropriate.

b) do not reject the null hypothesis

The results are consistent with the null hypothesi it means that the null hypothesis in favour of chance alone is not rejected.

c) accept the null hypothesis

your p-value is greater than the level of significance indivates there is insufficients evidence to reject null hypotheisi .

d) accept the alternative hypothesis:

* Incorrect .* the
alternative hypothesis of chance is not only explanation
of the data is rejected .

Statistical significance (alpha level;
p-value) reflects the odds that
a particular finding could have
occurred by chance.
If the
p-value for a difference between
two groups is 0.05, it would be expected to occur by chance just 5
times out of 100 (thus, it is likely to be a “real” difference). We
define a p-value of less than 0.05 to indicate statistical
significance.
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.05.
B. A researcher is willing to reject the null hypothesis if the
probability of the alternative hypothesis being true is lower than
.05.
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Questions D-F
d) You conduct a hypothesis test for the
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Choose from the following.
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