1. You want to get a gumball out of a gumball machine. You really like the ones colored blue. You can see that there are four different colors in the machine: blue, red, yellow, and white. You buy 40 gumballs and record the colors. Is there sufficient evidence to suggest that the distribution of colors is not uniform?
2. Upon entering a business school, students are asked regarding their intended concentration. From past records the following proportions were determined, 30% - management, 15% - finance, 20% - accounting, 25% - marketing, and 10% - economics. For the newly admitted class of 350 students, the breakdown of preferences was as follows: 99 - management, 66 - finance, 59 - accounting, 80 - marketing, and 46 - economics. Is there sufficient evidence that the newly admitted class is different from previous classes?
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