Recently, two students made headlines by spinning a certain type of coin 250 tim

Question

Recently, two students made headlines by spinning a certain type of coin 250 times and getting 140 heads-that's 56%. That makes the 95% confidence interval (50%, 62%) What does this mean? Area the conclusions in parts a through e correct? Explain your answers a) Between 50% and 62% of all coins of that type are unfair. Choose the correct answer below. A. This statement is correct. B. This statement is not correct. At least 50% of all coins are unfair. C. This statement is not correct. No more than 62% of all coins are unfair. D. This statement is not correct. The interval is about the proportion of heads, not individual coins b) We are 95% sure that in this experiment this coin landed heads between 50% and 62% of the spins. Choose e correct answer below. A. This statement is correct B. This statement is not correct. We know that 56% of the spins in this experiment landed heads. C. This statement is not correct. Different samples will give different results. 95% of all random samples of coin spins will show that 50% to 62% of spins landed on heads. D. This statement is not correct. All random samples of coin spins will show that 56% of spins land on heads c) We are 95% sure that spun coins of this type will and heads between 50% and 62% of the time. Choose correct answer below. A. This statement is correct. B. This statement is not correct. All random samples of spins will show that 50% to 62% of spins land on heads. C. This statement is not correct. A confidence interval says something about the unknown population proportion, not the sample proportion in different samples. D. This statement is not correct. 95% of all random samples of spins will show that 56% of spins land on heads. d) If you spin a coin of this type many times, you can be 95% sure of getting between 50% and 62% heads.

Explanation / Answer

SolL

sample proportion=p^=x/n=140/250=0.56=56%

Confidence interval is for population proportion of heads

SOlutionA:

between 50% and 62% are unfair

Answer D

this statemnt is not correct.the interval is about the proportion of heads,not individal coins

SolutionB

OptionC:

Different samples will give different results.95% of all random samples of coin spins will show that 50% to 62%

of spins landed on heads

SolutionC

Answer c:

Confidence interval says something about unknown population proportion

SolutionD:

True

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