A carnival operator wants a game that can be won about 30% of the time.

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A carnival operator wants a game that can be won about 30% of the time. If the game is won more frequently, it will not be economical for the operator; if winning is less frequent, potential players will be reluctant to risk their money. He devises a dart tossing game that he thinks will suit his criterion and tests it on 20 random players. a. State a null hypothesis based on his criterion. b. State a two-tailed alternative hypothesis. c. If the region of rejection is set at what is the a level? d. What conclusion should the operator draw about the game if there are 9 winners among the first 20 players? What must be assumed about the players in order to accept this conclusion?

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