A child's game includes a spinner with four colors on it. Each color is one quarter of the circle. You want to test the spinner to see if it is fair, so you decide to spin the spinner 50 times and count the number of blues. You do this and record 8 blues. Carry out a hypothesis test, carefully showing the four steps. Do it "by hand" (using R but not binom. Test ()). Then check your work using binom. test ().