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POSSIBLE POINTS: 2!] A common assumption is that when ipping a coin, there is a 50% chance it I.vill land with the head face up.
POSSIBLE POINTS: 2!] A common assumption is that when ipping a coin, there is a 50% chance it I.vill land with the head face up. A statistics teacher believes that for a penny. the proportion ofheads landing face up is larger than 50% when the coins are stood up on their edge and the table is shaken slightly to knock them over. As an experiment. the teacher's class randome selected one hundred pennies, stood them on their sides. and shook the table. OF the one hundred pennies. ?8 landed face up. To determine 'rfthe sample proportion of fl = (US provides convincing evidence that the true proportion of times a penny lands heads up when stood on its edge is larger than p:0.50. the class simulates 100 SRSs of size n = 100 from a population in which p:0.50. The dotplol below shows the results. Based on the simulation. is there convincing evidence that the proportion of times a penny lands heads up when stood on its edge is larger than 50%? g g ! glllglll llllllllo ! g a! . n35 M. 0.45 0.5 _ v.5: M m sill-d unknown-(huh ll 0 Yes, since the simulated sampling distribution is approximately symmetric and oentered about [1.50. O No. since none of the simulated values had sample proportions ofl}.73 or higher. 0 Yes, since none of the simulated values had sample proportions of 0.?8 or higher. 0 No. since the simulated sampling distribution is approximately symmetric and centered about 0.50
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