Question

Recenty, hwo students made headines by spinning a certain bype of coin 220 Smes and getting 132 heads ers 60%. That makes the 95% oonfidence interval (54 %,86% ) What does this mean? Are the conclusions in parts a through e correct? Explain your answers a) Between 54% and 66 % of all ooins of that type are unfair Choose the correct answer below OA This statement is comect O B. This statement is not comect. The interval is about the proportion of heads, not individual coins OC. This statement is not corect No more than 66 % of all coins are unfair. OD. This statement is net corect At least 54% of all coins are unfair. b) We are 95 % sure that in this experiment this coin landed heads between 54 % and 66 % of the spins. Choose the comect anawer below OA This statement is comect OB. This statement is not comect. Diferent samples wll give diferent results. 95 % of all random samples of coin spins will show that 54 % to 66 % of spins landed on heads OC. This statement is not corect All random samples of coin spins will show that 60 % of spins land on heads OD. This statement is not comect We know that 60% of the spins in this experiment landed heads e) We are 96 % sure that spun ooins of this type will land heads between 54 % and 06 % of the time. Choose the comrect answer below OA This statement is comect OB This staement is not comect. All random samples of spins will show that 54% to 66 % of spins land on heads O C. This statement is not conrect A confidence interval says something about the unknown population proporion, not the sample proportion in diflerent samples. speoy uo pu suds jo %09 1 mOus M suds o sdues wopuu Rp56 pauco ouuauas O0

Answer 1

solution! a) Not Conect I The Confidence Intewas is about the proportion of heads and it is not about the Euros. b) Not Comect It is very clear from the problem itself that by spinning a Belgian Euro 220 times and getting 132 heads thats 60%. so the statement that the landed heads is in between 50% to 66). is not Correct because we know for sure it is 60% c) Correct Yes we are 95% sure that it will land b/w the given Intwal d) In Correct 1 . The confidence Intew co is about the proportion of heads and not about individual heads. hence, we cannot accept the statement as Correct e) In Conect - The CI specified is about the proportion of heach and not about the individual heads. it says that we are 95% sure that the Euro's land heads blo 54% to 66% of times. Hence this statement is incorrect.