I ordered a 5 pound bag of jawbreaker candies. There were five different color candies: yellow, green, orange, red, and purple. The candies were packaged and distributed with 63 individual yellow, 60 individual green, 59 individual orange, 61 individual red, and 53 individual purple. There was also one package containing both and orange and purple, one containing purple and half a green, and one containing just half a green.

Using this data is the distribution of candy color uniform? Write a hypothesis test that will determine if equal amounts of each color is represented. List all the calculations done and conclusion. Make sure to talk about the candies that were not packaged correctly.

Do you think one sample would be enough to determine this for the whole population of all 5 pound bags of candy sold by this company? If not, how many more 5 pound bags would be needed for your sample to make a conclusion about the distribution of candy color? Explain mathematically how you determined how many more bags (samples) are needed.