Question

From the list of 500 names and addresses, 100 names are selected without
replacement and 25 wrong addresses were found. Identify the population and
estimate the total no. of addresses needing correction in the list. Also estimate the
standard error of the estimate

Answer 1

Step-by-step explanation:

Given  

From the list of 500 names and addresses, 100 names are selected without replacement and 25 wrong addresses were found. I Identify the population and  estimate the total no. of addresses needing correction in the list. Also estimate the  standard error

• The population is a list of 500 names and addresses.
• So total number of addresses needing correction n = Np  
•                                                                                     = 500 x 25/100
•                                                                                     = 125
• Now standard error is given by S.E = √Np (1 – p)
•                                                             = √500 x 0.25 x 0.75
•                                                             = √93.75
•                                                             = 9.682