Fortune Wheel. After losing a game to your friend in which a fortune wheel is spun and results are noted, you suspect the fortune wheel you were given is unfair. To check, you spun the wheel 30 times, noting the number of times the numbers on the six different slots appear. Do these results cast doubts on the wheel’s fairness?

a) If the wheel is fair, how many times would you expect each of the numbers to show?

b) To see if the results are unusual, will you test goodness-offit, homogeneity, or independence?

c) State your hypotheses.

d) Check the conditions.

e) How many degrees of freedom are there?

f) Find x2 and the P-value.
g) State your conclusion.

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4 3 Number Count 1 12 2 8 6 9 14 11 6 5