Answer:
Confidence Interval : 2.72% < p < 6.48%
Step-by-step explanation:
Number of randomly selected deaths = 669
Number of deaths caused by accident = 31
[tex]\text{Sample Proportion, p = }\frac{31}{669}=0.046[/tex]
z-score for 98% confidence level = 2.326
[tex]\text{Margin of Error = }z\times \sqrt{\frac{p\cdot (1-p)}{n}}\\\\\text{Margin of error = }2.326\times \sqrt{\frac{0.046\times 0.954}{669}}\\\\\implies\text{Margin of error = }0.0188[/tex]
Confidence Interval : 0.046 - 0.0188 < p < 0.046 + 0.0188
: 0.0272 < p < 0.0648
: 2.72% < p < 6.48%
Hence, Confidence Interval : 2.72% < p < 6.48%
