At a large, rural high school, 21% of sophomores have an allergy to ragweed, while 17% of seniors have one. Let p, and be the sample proportions of sophomores and seniors, respectively, who have an allergy to ragweed.
Suppose 50 sophomores and 62 seniors from this school are selected at random and asked if they have an allergy
to ragweed.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling
distribution of pros?
The difference (sophomores - seniors) in the sample proportions of those who have an allergy to ragweed
typically varies about 0.001 from the true difference in proportions.
The difference (sophomores - seniors) in the sample proportions of those who have an allergy to ragweed
typically varies about 0.006 from the true difference in proportions.
O The difference (sophomores - seniors) in the sample proportions of those who have an allergy to ragweed
typically varies about 0.032 from the true difference in proportions.
The difference (sophomores - seniors) in the sample proportions of those who have an allergy to ragweed
typically varies about 0.075 from the true difference in proportions.