A candidate in an election lost by 5.8% of the vote. The candidate sued the state and said that more than 5.8% 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 askfor the case to be dismissed, so shehad a governmentofficial from the state randomly select500 ballots and counthow many were defective. The officialfound 21 defective ballots.

Use Excel to test if thecandidate'sclaim is true and that less than 5.8% of the ballots were defective.Identify the p-value, rounding to three decimal places.