Chapter 10, Problem 21SE

Dreidel Spinning When playing Dreidel, (see photo) you sit in a circle with friends or relatives and take turns spinning a wobbly top (the dreidel). In the center of the circle is a pot of several foil-wrapped chocolate coins. If the four-sided top lands on the Hebrew letter gimmel, you take the whole pot and everyone needs to contribute to the pot again. If it lands on hey, you take half the pot. If it lands on nun, nothing happens. If it lands on shin, you put a coin in. Then the next player takes a turn.

Each of the four outcomes is believed to be equally likely. One of the author’s families got the following outcomes while playing with a wooden dreidel during Hanukah.

Determine whether the outcomes allow us to conclude that the dreidel is biased (the four outcomes are not equally likely). Use a significance level of $0.05$.