Sangeetha Pulapaka
0

We need at least 10 expected "successes" and at least 10 expected "failures" for the sampling distribution of the sample proportion to be approximately normal:

np≥10  and n(1−p)≥10

Our sample size is n=100 families, and p=0.86 since 86% of the population grows tomatoes.

​Expected successes: np =100 (0.86) = 86 ≥ 10.

Expected failures: n(1−p) = 100 (1−0.86)= 14 ≥ 10.

So, we have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample.

So, option C is the correct choice.