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According to a recent article, 34% of drivers had driven drowsy in the past month. Law
enforcement officials are planning a survey of 1,000 drivers to determine what proportions are
driving drowsy. (A) What is the sampling distribution of the sample proportion? The sampling
distribution has three components: (i) Mean, p=p= and (ii) Standard deviation, p^=np^(1p^)=
(please round your answer to 5 decimal points) (iii) Shape: Since np=>10 and n(1p)=>10, by CLT,
p^ approximately follows a normal distribution with mean = and SD= (B) In a random sample of
1000 drivers, what is the probability that more than 36% of drivers will have driven drowsy in the
last month? (please round your answer to 5 decimal points) P(p^>0.36)=

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According to a recent article 34 of drivers had driven dro.pdf

  • 1. According to a recent article, 34% of drivers had driven drowsy in the past month. Law enforcement officials are planning a survey of 1,000 drivers to determine what proportions are driving drowsy. (A) What is the sampling distribution of the sample proportion? The sampling distribution has three components: (i) Mean, p=p= and (ii) Standard deviation, p^=np^(1p^)= (please round your answer to 5 decimal points) (iii) Shape: Since np=>10 and n(1p)=>10, by CLT, p^ approximately follows a normal distribution with mean = and SD= (B) In a random sample of 1000 drivers, what is the probability that more than 36% of drivers will have driven drowsy in the last month? (please round your answer to 5 decimal points) P(p^>0.36)=