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Mathematics (09) Practice Test76. A government wants to make a rough calculation of thenumber of coins that are in circulation. In January they put aninvisible marker on 10,000 of the coins and released them intocirculation. In June they randomly collected 5,000 coins. Ofthe 5,000 coins collected, 37 were marked. Which of thefollowing proportions should they solve for T, the total numberof coins in circulation?A.B.C.D.375,000 = T10,000375,000 = T15,000375,000 = 10,000T375,000 = 15,000T77. A car manufacturer claims that its new model gets 55 milesper gallon of gasoline on the highway. A consumerorganization uses hypothesis testing to evaluate this claim.Let µ be the mean highway fuel efficiency of the new model inmiles per gallon. What should the consumer organization useas H 0, the null hypothesis, and H 1, the alternate hypothesis?A. H 0: µ < 55H 1: µ = 55B. H 0: µ > 55H 1: µ = 55C. H 0: µ = 55H 1: µ < 55D. H 0: µ = 55H 1: µ > 5549