The prosecutor in a criminal trial introduces a key piece of evidence -- a letter written by the criminal that was left at the scene of the crime. The defendant in the case is left-handed, and handwriting experts can often distinguish between the writing of left-handed and right-handed people. The prosecutor asks an expert to analyze the letter. The expert test the hypotheses

Ho: the writer of the letter is right-handed

Ha: the writer of the letter is left-handed

The handwriting expert determines a P-value of 0.002. Using a 1% level of significance, we conclude that: