A candidate in an election lost by 5.4% of the vote. The candidate sued the state and said that more than 5.4% of the ballots were defective and not counted by the voting machine, so a full recount would need to be done. His opponent wanted to ask for the case to be dismissed, so she had a government official from the state randomly select 500 ballots and count how many were defective. The official found 19 defective ballots. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether the candidate's opponent's claim is true and less than 5.4% of the ballots were defective. Identify the p-value, rounding to three decimal places