Ive struggled with determining how to make conclusions with

I\'ve struggled with determining how to make conclusions with statistical tests. For this particular problem, two sets of data. Are they the same or not? I calculated the following:

n

Mean

Standard Deviation

SE Mean

Sample 1

64

383.781

252.8991

31.612

Sample 2

64

453.469

290.9491

36.369

DF=123

T value: -1.4462

P value 0.1506

Because the T value is lower than the P value, we reject the null hypothesis that the two samples are from the same population. Are my conclusions correct?

Solution

Your conclusions are incorrect.

The p value that is calculated is determined based upon The T statistic or T value and the degrees of freedom.

Here, as the p value is greater than the significance level (which is usually 0.05), we accept the null hypothesis.

Rule: Conclusions of a statisitcal test is done using p value and significance level.

If p value > significance level, => Accept null hypothesis

If p value < significance level, => Reject null hypothesis