Shape of sampling distributions for differences in sample proportions

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Suppose that

8 %

of all cars produced at Plant A have a certain defect, and

5 %

of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of

150

cars from each plant. The manager will then look at the difference

(A - B)

between the proportions of cars with the defect in each sample.

What will be the shape of the sampling distribution of the difference in sample proportions, and why?

(Choice A)
Approximately normal, because we expect $12$ ‍ defective and $138$ ‍ defect-free cars from Plant A, and $15$ ‍ and $135$ ‍ from Plant B, and all of these counts are at least $10$ ‍.
(Choice B)
Approximately normal, because we expect $16$ ‍ defective and $134$ ‍ defect-free cars from Plant A, and $10$ ‍ and $140$ ‍ from Plant B, and all of these counts are at least $10$ ‍.
(Choice C)
Not normal, because we expect fewer than $10$ ‍ defective cars in Plant A.
(Choice D)
Not normal, because we expect fewer than $10$ ‍ defective cars in Plant B.

AP®︎/College Statistics