Question

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a sample of size 245 with 162 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

98% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer 1

We have given,              
              
x=162          
n=245          
Estimate for sample proportion=   0.6612  
Level of significance is =1-0.98=0.02      
Z critical value(using Z table)=2.326      
              
Confidence interval formula is              


=(0.591,0.732)