For all examples, we will assume an alpha of 0.05. 1. You andafriendareplanningtouseacoininordertodecidewhogetstogoonafree vacation. The winner of a coin toss will win the trip. liloiilliever1| prior to the coin toss, you want to check to make sure the coin is fair. You therefore wish to use a Chi- Sqnare Goodness of Fit test, along with a randomly ipping the coin 20 times, in order to make sure it does not signicantly vary from the expected distribution. For this example, the expected frequency of a heads is 0.5, and the expected frequency of a tails is 0.5. Please calculate the Chi-Square by hand for the following data in the table below, keeping in mind that there are 20 samples, so adjust your expected frequency as necessary (10 points): Tails n a. Fill in the information in the following table to help you calculate a Goodness-ofFit Chi- Sqnare (4 Points)