• Stats homework, please help!
  

5. What is the best dessert to serve at Thanksgiving? One way to decide this is to ask millions of people to make a binary choice: Dessert Option 1 vs. Dessert Option 2 (e.g., apple pie vs. pecan pie). If you randomize what options people must compare, then every dessert will have a "win percentage". This is the percentage of times the dessert beat its (random) opponent when humans were forced to make a binary (!) decision. Luckily, the data journalism website 538 did this very thing! According to their data, pumpkin pie reigns supreme, winning 81% of head-to-heads with other desserts. You notice that poll was from 2016 and are curious if things are different now. So, you conduct a new round of head-to-heads and find that in 723 of these, people preferred pumpkin pie. Sadly, you forgot to write down the total number of head-to-heads, n. You do know that your hypothesis test came back statistically significant at the a = 0.08 level. What are all the possible values n could have been? Don't use R, trial-and-error, or a computer algebra system to help solve this. [PH of PHANTOM]