Arizona as well as your home state of Washington are members of the Drivers License Compact meaning that the Arizona courts will report your traffic ticket back to the Washington Department of Licensing (DOL).
According to the WA DOL site, they keep a record of traffic infractions, convictions for motor vehicle violations and notices for failure to appear or respond to traffic citation on every driver in the state. This information that goes on your driving record is obtained by clerk of the courts and licensing agencies so it would appear that the out of state information reported to the DOL would also be placed on your WA driving record. Check with the DOL to find out for certain though.
If the AZ traffic ticket is placed on your WA driving record then your insurance company could see it the next time they run your motor vehicle record (MVR). To find out if or by how much this traffic violation could affect your rates you would have to check with your insurance company regarding their rating system.