Finding confidence interval. A random sample of 700 units from a large consignment showed that 200 were damaged.how can we find the 95% confidence interval for the proportion of damaged unit in the consignment.

Modelfino0g

Modelfino0g

Answered question

2022-09-09

Finding confidence interval
A random sample of 700 units from a large consignment showed that 200 were damaged.how can we find the 95% confidence interval for the proportion of damaged unit in the consignment.

Answer & Explanation

coccusk7

coccusk7

Beginner2022-09-10Added 14 answers

Step 1
The confidence interval is:
( p z α 2 p ( 1 p ) n , p + z α 2 p ( 1 p ) n ) .
Step 2
Here p = 200 700 = 0.286, 1 p = 0.714, n = 700, z α 2 = 1.96. So C . I = ( 0.253 , 0.319 )

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