Answer:
The 95% confidence interval is

Explanation:
From the question we are told that
The sample size is

The number of approved loan is k = 410
Generally the sample proportion is mathematically represented as

substituting values


Given that the confidence level is 95% then the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table,the value is

Generally the margin of error is mathematically represented as

substituting values


The 95% confidence interval for p is mathematically represented as

substituting values

