Answer:
The Sample size is 1918.89035
Step-by-step explanation:
Consider the provided information.
It is given that 14 out of 105 samples failed.
Therefore p = 14/105 = 0.13
3... and q=1-0.133=0.867
Samples would be needed to create a 99 percent confidence interval.
Subtract the confidence level from 1, then divide by two.

By standard normal table z=2.5758≈2.58
Calculate the sample size as:

Where, e is the margin of error,
Substitute the respective values.

Hence, the Sample size is 1918.89035