Calculate the correlation coefficient $)$ for the following situation: $($Round intermediate calculations and the final answer to $4$ decimal place, e$.$g$.0\mathrm{.}2921.)$

$\backslash$table$[[\backslash$table$[[$State of the$],[$economy$]],\backslash$table$[[$Probability of$],[$occurrence$]],\backslash$table$[[$Expected return on$],[$stock $A$ in this state$]],\backslash$table$[[$Expected return on$],[$stock B in this state$]]],[$High growth,$30\%,38\mathrm{.}5\%,55\mathrm{.}5\%$