A student in a physics lab class is performing an experiment to measure a known physical constant, g, the acceleration due to gravity. Their assignment requires them to construct a 95% confidence interval for their estimate of g, and after collecting their data they produce a confidence interval and turn their assignment in. The lab TA gives them no credit for the assignment as their interval does not contain the true value of g. The student claims they should receive credit as they did both the experiment and math correctly, but the TA claims that if that were true their interval would have to contain g. Which individual is correct in this situation, and how can they correct the flaw in the other's understanding?