Answer the questions in the image below.

Given the following observed datasets and their respective expected values. Conduct a Goodness-of-Fit test to determine whether the proposed distribution is representative of the data. Use a = 0. 05. Complete any empty entries in the tables. 1) A teacher wants to determine if the distribution of students' favorite subjects is consistent with the expected distribution based on a previous school-wide survey. Subject | Math | Science | English | History | Art Observed Frequency 20 15 10 25 10 Hy: Good fit H;: Not good fit Do we have convincing evidence that the expected distribution accurately reflects student preference? 2) A city council wants to determine if the distribution of residents' preferred recreational activities is consistent with the expected distribution based on a previous city-wide survey. Activity | Walking | Swimming | Cycling | Gym | Tennis | Basketball Observed Frequency 60 25 35 20 | | h | & el 11 Hy: Good fit H,: Not good fit Do we have convincing evidence that the expected distribution accurately reflects the residents' preferred recreational activities