to be considered 18 - karat (18k) gold, a pie...
to be considered 18 - karat (18k) gold, a piece of jewelry must be made of 75% pure gold. the higher the karats, the more valuable a piece of jewelry. a jewelry designer is purchasing a large quantity of 18k gold from a new supplier. to see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with $h_0$: the proportion of metal that is gold is 75%, and $h_a$: the proportion of metal that is gold is less than 75%. what are a type i error and a type ii error in this context?\n\ntype i error: the gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.\ntype ii error: the gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.\n\ntype i error: the gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.\ntype ii error: the gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.\n\ntype i error: the gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.\ntype ii error: the gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.\n\nmark this and return save and exit next submit