Suppose city police and paramedics know that the 95% confidence interval on the
ID: 3306130 • Letter: S
Question
Suppose city police and paramedics know that the 95% confidence interval on the proportion of calls for drug overdoses that end in fatalities is (0.775, 0.792).
What must be the value of p , the point estimate for the proportion of calls for drug overdoses that end in fatalities?
What is the critical score that would be used to calculate the 95% confidence interval?
When can you use a T-score to calculate a confidence interval for a proportion?
Use the information you have for the two-sided 95% confidence interval to determine the level of confidence you would have if you were told that 0.775 is the one-sided lower bound for the confidence interval on the proportion of calls for drug overdoses that end in fatalities?
Thanks!
Explanation / Answer
1) point estimate for the proportion =(0.775+0.792)/2=0.7835
2) critical score that would be used to calculate the 95% confidence interval z =1.96
3) when sample size is less then 30
if 0.775 is one sided lower bound then we should use 97.5% confidence interval or 0.025 level of confidence