1. A statewide survey of community college students showed that 33% prefer to take math classes online, 62% prefer to take math classes in person, and 5% prefer hybrid structure for their math classes. Suppose you wanted to carry out a follow up study consisting of a stratified random sample of 1400 community college students. Determine the number of students you would need who prefer online classes, prefer in person classes, and the number who prefer hybrid classes. 2. Desmond was interested in figuring out the true average amount of time that people spent in a swimming pool each day during the summer. He randomly sampled 180 people with pools and found that they spent an average of 26.8 minutes per day in their pool with a sample standard deviation of 10.4 minutes. Use the information to construct a 92% confidence level for the true average amount of time that people spend in a swimming pool during the summer. Include assumptions how there satisfied, the interval and interpretation. 3. A survey was conducted to determine whether children are more likely to make new year's resolutions as opposed to adults. 120 children were surveyed and 106 of them stated that they make a new year's resolution every year while 141 out of 163 adults stated they make a New Years every year. Carry out a hypothesis test if the true proportion of children who make new year resolutions every year larger than the adults true proportion. Include hypotheses, assumptions, and how there satisfied, p-value, decision and conclusion