Step 1 :The null and alternative hypotheses are: \[\begin{array}{l} H_{0}: \rho=0 \\ H_{1}: \rho \neq 0 \end{array}\]
Step 2 :The correlation coefficient, r, is \(\boxed{0.957}\).
Step 3 :There are two critical values at \(r= \pm \boxed{0.268}\).
Step 4 :Since the correlation coefficient is much larger than the critical values, we can reject the null hypothesis and conclude that there is a significant correlation between the weights of bears and their chest sizes.