Question

Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 44 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
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​Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?

A. No, they are different.

B. Yes, they are quite similar.

Answer 1

P- value is the probability of obtaining a value of test statistic more extreme in the direction of alternative hypothesis than the observed one..so,in easy words if p -value<level of significance we reject H0 in favor of H1.

Here p-value<0.0001 => we reject H0.

If the statistical software renders a p value of 0.000 it means that the value is very low, with many "0" before any other digit.So the interpretation would be that the results are significant, same as in the case of other values below the selected threshold for significance.

ans:B.yes they are quite similar.