What does this statistical result mean : Path coefficient = .34, t = 6.15, p < .0005?

Answer 1

With a standardized path coefficient, it means that 1 standard deviation in the independent variable will result in .34 standard deviations in the dependent variable. The t score relates to the standard normal distribution, it means that the expected result is 6.15 standard deviations greater than 0, which translates into a probability that this result is due to chance of under .05%. This means your result is highly significant.

Answer 2

Thank you for the explanation. How does one arrive at p<.0005.