Hugo polled 100 randomly selected people to see if they had exercised that week and found that 85% said they had. lily asked 400 randomly selected people the same question and found that 85% of them also responded that they had exercised that week. if hugo and lily use a 99% confidence level (z*score of 2.58), which statement is true? e = z* - hugo’s margin of error will be exactly 2 times as large as lily’s margin of error. - lily’s margin of error will be exactly 2 times as large as hugo’s margin of error. - hugo’s margin of error will be exactly 4 times as large as lily’s margin of error. - lily’s margin of error will be exactly 4 times as large as hugo’s margin of error.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)