Choices for part c in the below photos An insurance company checks police record

Question

Choices for part c in the below photos An insurance company checks police records on 584 accidents selected at random and notes that teenagers were at the wheel in 84 of them. a) Construct the 95% confidence interval for the percentage of al auto accidents that involve teenage divers. (Round to one decimal place as needed) b) Explain what your interval means A. We are 95% confident that a randomly sampled accident would involve a teenager a percent of the time that falls inside the confidence interval limits 0 B. We are 95% confident that te percent of accidents involving teenagers is 14 4% O C. We are 95% confident that the true percentage of accidents Involving teenagers falls inside the confidence interval limits. c) Explain what "95% confidence" means. About 95% of random samples of size 584 wil produce 1 that contain(s) the of accidents involving teenagers d) A politician urging tighter restrictions on drivers licenses issued to teens says, "In one of every five auto accidents, a teenager is behind the wheel Does the confidence interval support or contradict this statement? A. The confidence interval supports the assertion of the polician. The figure quoted by the poleianis outside the interval. B. The confidence interval supports te assertion of the polician The figure quoted by the politician is inside the interval ° C. The confidence interval contradicts the assertion of the politician The figure quoted by the polician is inside he interval O D. The confidence interval contradicts the asserton of the polician The figure qoted by the policían is outside the inerva.

Explanation / Answer

here p=84/584=0.1438

for n=584

therefore std error =(p(1-p)/n)1/2 =0.0145

for 95% CI; z=1.96

therefore 95% CI =p -/+ z*std error =0.115 ; 0.172 =11.5% to 17.2%

b)

option C is correct

c)

sample of size will produce confidence intervals that contains the true proportion ....................

d)option D is correct

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