8.70 Auto Accidents Last year's records of auto accidents occurring on a given section of highway were classified according to whether the resulting damage was $1000 or more and to whether a physical injury resulted from the accident. The data follows:

a. Estimate the true proportion of accidents involving injuries when the damage was $1000 or more for similar sections of highway and find the margin of error.

b. Estimate the true difference in the proportion of accidents involving injuries for accidents with dam- age under $1000 and those with damage of $1000 or more. Use a 95% confidence interval.

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Under $1000 $1000 or more 32 Number of accidents 41 Number involving injuries 10 23