Question

In: Statistics and Probability

Suppose that the abilities of two new radar systems to detect packages dropped by an airplane...

Suppose that the abilities of two new radar systems to detect packages dropped by an airplane are being compared. In a series of trials, radar system #1 detected the packages being dropped 51 times out of 60 while radar system #2 detected the packages being dropped 35 times out of 50. A 99% confidence interval for the differences between the probabilities p1−p2p1−p2 that the radar systems successfully detect dropped packages is:

Select one:

a. (0.03, 0.07)    

b. (-0.15, 0.15)

c. (0.04, 0.06)    

d. (-0.05, 0.35)

e. (-0.12, 0.22)    

Solutions

Expert Solution

We have given,              
              
x1=51          
n1=60          
              
x2=35          
n2=50          
              
Level of significance =   0.01          
Z critical value (by using Z table)=2.576
Estimate for sample proportion 1
              
Estimate for sample proportion 2
  
Confidence interval formula is              


=(-0.05,0.35)          

d. (-0.05, 0.35)

orchestra answered 1 year ago
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