The coach of a basketball team thinks the referee is using a weighted coin to decide which team gets the ball. He looks at the last 140 coin tosses and observes that there were 85 heads and 55 tails.  Answer the following questions. (1) What is the null hypothesis?  The observed frequency is not different than the expected frequency, meaning that the coin is biased The observed frequency is not different than the expected frequency, meaning that the coin is fair. The observed frequency is different than the expected frequency, meaning that the coin is fair. The observed frequency is different than the expected frequency, meaning that the coin is biased. (2) What is the calculated value of chi-square?  (3) How many degrees of freedom are there? (4) Assuming alpha is equal to .05, what is the critical value? (5) What is your decision?  Fail to reject the null and decide that the coin is fair. Fail to reject the null and decide that the coin is biased. Reject the null and decide that the coin is fair. Reject the null and decide that the coin is biased.

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