5. A researcher investigating whether joggers are less likely to get colds than people who do not jog found a P-value of 3%. What does that mean? (Hint: it would help if you write the null and alternative hypotheses and pick some confidence level to compare the p-value to).
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Solution:
Given that,
A researcher investigating whether joggers are less likely to get colds than people who do not jog found a P-value of 3%
H 0:
Joggers and Non - Joggers are equally likely to get cold
H 1:
Joggers and Non -Joggers are not equally likely to get cold
Let us consider ,
Alpha = 5 %
It means hypothesis at 95 % level of significance
At this LoS ,
If P- value = 3 %
P< Alpha
We can dismiss the null and tell that Joggers and Non- Joggers are not equally likely to get cold
However, the interpretation part means that
At 3 % level ,
we can dismiss the null hypothesis
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