1. Hadey is running a game of chance to raise money for a trip to Jamaica to visit his grandparents. A player pays $5 and then rolls a six-sided die. The faces of the die are different colors, one red, one blue, one yellow, one green, one purple and one orange. If the die comes up green, Hadey pays the player $20. Old Billie plays the game 120 times and loses $300. She doesn't trust Hadey and asks Letecia to test the die that Hadey is using for bias. Letecia rolls the die 600 times with the following results: Red blue yellow green purple Orange 99 107 104 73 108 109 Perform the appropriate hypothesis test at the 0.05 significance level to determine if the die is balanced.

2. Scheherazade was amazed to learn about the goats' efforts in rating restaurants, but she is skeptical that it really matters in terms of relationship-building. Specifically, she doesn't think eating at better restaurants provides any different relationship outcomes. Hadey is shocked at such an ignorant statement and promptly collects a random sample of Avocado Park residents who have been on first dates in the last six months to prove that the restaurant matters. His results can be found in the Excel file "food & romance.xlsx" on Canvas. At the 0.10 significance level (Hadey doesn't like to lose), does the data support Hadey's claim? Perform a complete hypothesis test.

Food Satisfaction	No Second Date	Multiple Dates Over Less Than One Month	Relationship Lasting Longer Than One Month
Very Satisfied	18	15	5
Somewhat Satisfied	16	16	5
Neutral	17	14	4
Somewhat Dissatisfied	16	12	6
Very Dissatisfied	12	8	7