AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Unit Test — Unit testQuestion 16
16
QuizMultiple Choice
Unit Test — Unit test
Question 16 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
In a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let and be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class.Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?
Answer
A
The difference (faculty — student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about –0.52 from the true difference in proportions.B
The difference (faculty — student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.009 from the true difference in proportions.C
The difference (faculty — student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.086 from the true difference in proportions.D
The difference (faculty — student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions.