7. A psychologist studied the effect of running on personality using a simple ra

Question

7. A psychologist studied the effect of running on personality using a simple random sample of 230 people. A news report on the study said that "The researcher found statistically significant personality difference between the runners and the population as a whole". What does "statistically differences" mean here? (a) Larger differences were observed than what could be explained by chance alone. (b) The differences were meaningful in terms of personality. (c) Because of the random sampling, we cannot judge how big a difference there might be between the runners and the population as a whole. (d) The differences were definitely not due to chance. (e) None of the above.

Explanation / Answer

Statistical differences or statistically significant difference means that the difference in the personality were not due to chance , hence D

The hypothesis formulation would be

H0 : There is no difference in the personality

H1 : There is a statistically signficant difference in the personality

if the result is significant , this means the calculated p value is less than the signficance leve (0.05 , assumed) , hence we reject null hypothesis in favor of alternate hypothesis

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