Construct a truth table to analyze all the possible outcomes and determine the validity of the following argument. \(\sim p \vee q \leftrightarrow \sim q \rightarrow \sim p\)

Assume the following statements are true. \(p\) : "Poof is a baby fairy," \(q\) : "Timmy Turner has fairly odd parents," \(r\) : "Cosmo and Wanda will grant Timmy's wishes," and \(t\) : "Timmy Turner is 10 years old." Translate each of the following statements into symbolic form, then determine its truth value.