Recall the use of data from the National Health Survey to estimate behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U. S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. Suppose that we randomly select 100 U. S. adults who are smokers and find that 25% of this sample started smoking before the age of 16. Is this much error surprising? Find the probability that a sample proportion will over - or underestimate the parameter by more than 5%.

Question

Mathematics

Dude

26 January, 14:16

Recall the use of data from the National Health Survey to estimate behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U. S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. Suppose that we randomly select 100 U. S. adults who are smokers and find that 25% of this sample started smoking before the age of 16. Is this much error surprising? Find the probability that a sample proportion will over - or underestimate the parameter by more than 5%.

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Lawson Velasquez · Answer 1

Answer:No it isn't really surprising as the percentage error isn't too much.

Probability of estimating above or below the parameter by more than 5% is0.5

Step-by-step explanation:30%-25%/30%=5/30=1/6.

Probability=Required outcome/possible outcome, hence the probability=1/2=0.5