6
QuizMultiple Choice
Sampling Distribution of the Sample Proportion
Question 6 of 10 • NC-Math 4
Agriculturists in a certain state claim that 43% of the residents in the northern portion of the state prefer flour tortillas over corn tortillas, while 59% of the residents in the southern portion of the state prefer flour tortillas over corn tortillas. Suppose random samples of 33 northerners and 41 southerners are selected. Let and be the sample proportions of northern and southern residents of this state, respectively, who would prefer flour tortillas over corn tortillas.Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?
Answer
A
The difference (northern – southern) in the sample proportions of those who prefer flour tortillas over corn tortillas typically varies about 0.013 from the true difference in proportions.B
The difference (northern – southern) in the sample proportions of those who prefer flour tortillas over corn tortillas typically varies about 0.039 from the true difference in proportions.C
The difference (northern – southern) in the sample proportions of those who prefer flour tortillas over corn tortillas typically varies about 0.115 from the true difference in proportions.D
The difference (northern – southern) in the sample proportions of those who prefer flour tortillas over corn tortillas typically varies about 0.166 from the true difference in proportions.