5
QuizMultiple Choice
Unit Test
Question 5 of 12 • NC-Math 4
At a university, 34% of undergraduate students love spicy food, while 45% of graduate students love spicy food. Let and be the sample proportions of undergraduate and graduate students at this university, respectively, who love spicy food. Suppose 35 undergraduate students and 28 graduate students from this university are selected at random and asked if they love spicy food.Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?
Answer
A
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.006 from the true difference in proportions.B
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.015 from the true difference in proportions.C
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.078 from the true difference in proportions.D
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.123 from the true difference in proportions.