Step 1 :The degrees of freedom for the t-distribution is the sample size minus 1, which is 2200 - 1 = 2199.
Step 2 :We can use this value along with the t-value to calculate the P-value.
Step 3 :The t-value is 2.83 and the degrees of freedom is 2199.
Step 4 :The P-value is calculated as 0.004697063306862592.
Step 5 :Rounding to three decimal places, the final P-value is \(\boxed{0.005}\).