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If a researcher's findings indicate that p=.05 it means that the findings are statistically significant.

P-value or probability value basically tests the validity of a hypothesis. If p=.<05 it means that you cannot reject the null hypothesis.

If p= >.05 it  means that the null hypothesis can be rejected and that the results of a research study are statistically significant. 

If the researcher concludes that p value (p) = 0.05, then this is most likely indicates that the result of two test are statistically significant.

P value helps the researcher to test its hypothesis whether to reject or accept it. If the value of p<0.05, then the the researcher should reject the set hypothesis. Else, p>=0.05, then the hypothesis is acceptable.