Answer
$\Delta p =4.14*10^3\text{ psi}$
Work Step by Step
$$
E_v=-\frac{d p}{dV/ V}
$$
$\Delta p =-\frac{E_v \Delta V}{V}=-(4.14 \times 10^6)*(-0.001)=4.14*10^3 psi$
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