Answer:
a. Yes
See explanation below.
Step-by-step explanation:
Assuming that if the question is if we can use the normal approximation for the true proportion.
For this case we have n = 40 and p = 0.3 (probability of success)
We need to check some conditions:
1) Random sample : This condition is satisfied since the problem says that she randomly select 40 records
2)
3) 10% condition: the random sample is assumed to be less than 10% of the original population size (assumed)
The population proportion have the following distribution
So then as we can see the normal approximation for this case makes sense since we have all the 3 conditions satisfied so then the answer would be:
a. Yes