Question: Do problem 16 on the hypothesis testing handout from class. (10 pts each)

It is commonly accepted that in a typical bag of thingamajigs, 62% of them will be red. Filled with the spirit of discovery, Jason bought a bag of thingamajigs. He found out that only 48% of the thingamajigs in his bag were red. Is there sufficient evidence to conclude that less than 62% of the thingamajigs in a typical bag are red? Answer this question if Jason's bag contains: (a) 50; (b) 300 thingamajigs.