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Let\'s say a researcher testing the effects of a drug conducts a statistical tes

ID: 3229967 • Letter: L

Question

Let's say a researcher testing the effects of a drug conducts a statistical test and obtains a really extreme value (like a t-score of 13.79 or a chi-square of 24.33). Since the likelihood of obtaining such an extreme value by chance alone is so incredibly small, he concludes that the difference is not due to chance, and (therefore) that the drug works. Could he be wrong? That is, is it possible that the drug really doesn't work, and that the extreme values were, in fact, a chance occurrence? (Be sure to justify your answer.)

Explanation / Answer

Suppose a researcher testing the effect of a drug.

If he performs the t-tset, his null hypothesis is:

H0: There is no significant difference between the Population means.

Vs Alternative:

H1: There is a significant difference between the Population means.

if the tcal value is 13.79 and the table value for cetain degrees of freedom is less than

tcal.

Then we reject the null hypothesis that means there is the effect of drug.

For Chi-square test

his null hypothesis is:

H0: There is no significant effect of the drug.

Vs Alternative:

H1: There is a significant effect of the drug.

if the t

Chisquare-score value is 24.33 and the table value for cetain degrees of freedom is less than

Chisquare-score.

Then we reject the null hypothesis that means there is a significant effect of drug.

So when we reject the null hypothesis, we are 95% or 90% sure on our test.

That means the researcher is right based on the data he have.