Your place of employment is trying to determine whether to allow its employees to work from home for 2 days a week. Knowing that you've previously taken a statistics course, your boss asks you to "figure it out". You create a survey to gauge employee interest in this area. 1. Formerly, your place of employment has tried to give surveys to everyone, a census, but only a few people responded to the email. Your new plan is to randomly choose some employees and administer the survey yourself. You put everyone's name on a numbered list and randomly choose numbers until you have your sample. What form of sampling is being described here? 2. Suppose you want to estimate the percentage of employees who want to work from home. Doing some research on the internet, you nd a recent study that found that 72% of employees prefer a hybrid remote-office model. Using that value as your sample proportion, estimate how many people would you need to survey in order to estimate the percentage in your company that would prefer to work at home, within 5 percentage points, with 95% confidence. 3. Because of practical considerations you ultimately decide to survey 100 people and find that 75 of them would prefer to work at home to some extent. When your boss asks you \"What percentage of employees want to work from home?", what do you tell him? 4. He seems flustered and asks "That's higher than I thought! Since you didn't ask everyone in the campany, how do you know that your numbers are correct?" What do you say in response? 5. Still unconvinced, you calculate a 95% confidence interval. Show the calculation below or indicate what technology you uSed and what values you put into the calculator or Excel. 6. Explain what this confidence interval means to your boss, who has never taken 3 statistics class