Recenty two students made headlines by spinning a certain type of coin 220 mes a
ID: 3055193 • Letter: R
Question
Recenty two students made headlines by spinning a certain type of coin 220 mes and getting 132 heads your ansWers -that's 60%. That makes the 90% confidence interval 559 65% hat does this mean? Are ne conclusions in parts a trough correct? Explain Between 55% and 65% of all coins of that type are unfair. Choose the correct answer below OA. This statement is correc O B. This statement is not correct. The interval is about the proporton of heads, not individual coins. ° C. This statement s not correct N? more than 65% of all c?ns are untar 0 D. This statement not correct. At least 55% of all coins are unfair b) We are 9D% sure that in this expenment this con landed heads beween 55% and 65% ot the spins Choose the correct ?nswer below. A. O B. ° C. This statement is correct. This staternent is not conect. We know that 60% cf the spins in this Bxpenrnent landed heads. This statement is not correct. Different samples will give different results, 90% of all random samples of coin spins will show that 55% to 65% of spins landed on heads. This statement is not correct. All rendom samples of coin spins will show that 60% of spins land on D. heads c) we re 90% sure that spun coins of this type will land heads between 55% and 65% of the time Choose the correct answer below. OA. This statement is correct 0 B. This statement is not correct 90% of all random samples of spins will show that 60% of spins land on O C. This statement not correct All random samples of spins will show that 55% to 65% at spins land on O D. This statement is not correct. A confidence interval says somcthing about the unkniown population heads hesds proportion, not the samplc proportion in diffe cnt samplesExplanation / Answer
a) ANS:A: This statement is correct . suppse Ho=The coin is fair i.e p=0.5
then p does not belong to cinfidance interval . Thus we reject H0 i.e the coin is unfair.
Between 55% and 65% of all coins of that type are unfair.
b) ANS: C- This statement is not correct. as different sample will give different results. 90% of all random samples of coin spines will show that 55% to 5% of spines landed on heads.
c) ANS: A- This statement is correct
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