Answer
The sample size should be at least 1010 to fulfill the conditions of the normal distribution.
Work Step by Step
The sample should be large enough so that the sampling proportion can be normal. It must fulfill the following condition:
$np(1-p) \geq 10$
Here we have p = 0.01, hence:
$n \times 0.01 (1 - 0.01) \geq 10$
$n \geq 1010.10$
Hence, the sample size should be at least 1010 to fulfill the conditions of the normal distribution.