Last year's records of auto accidents occurring on a givensection of highway were classified according to whether theresulting damage was $1,000 or more and to whether a physicalinjury resulted from the accident. The data follows.
| Â Â Â Â | Under $1,000Â Â Â Â | $1,000 or More |
| Number of Accidents | 39 | 40 |
| Number InvolvingInjuries    | 10 | 23 |
(a) Estimate the true proportion of accidents involving injurieswhen the damage was $1,000 or more for similar sections of highway.(Round your answer to three decimal places.)
Find the 95% margin of error. (Round your answer to three decimalplaces.)
(b) Estimate the true difference in the proportion of accidentsinvolving injuries for accidents with damage under $1,000 and thosewith damage of $1,000 or more. Use a 95% confidence interval. (Usep1 − p2 wherep1 is the proportion of accidents involvinginjuries with damage under $1,000 and p2 is theproportion of accidents involving injuries with damage of $1,000 ormore. Round your answers to three decimal places.)
