Help with Statistics Question

Size of DataSet: 100
Regression equation/line: Y=11.20816-0.1098466x
Slope is -0.1098466
The y-intecept is 11.20816
Sum of Regression Bar Errors^2=16.6051535247
Sum of YBar Errors=188.830557742
R/correlation coefficient: -0.955020
R^2/coefficient of determination:= 0.912063

X and Y values from the Scatter PlotPoints

X Y
1.889 11.736
8.558 9.664
15.39 9.044
25.477 7.765
34.12 7.741
38.804 6.557

Is the true correlationsignificant at alpha = 0.05? at alpha= 0.01? Set up a complete hypothesis test.

This solution provides steps to determine if the true correlation significant is at alpha = 0.05 and 0.01.