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 p hat Subscript Upper F and p hat Subscript Upper S 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 shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?bimodal because one population proportion is centered at 0.37, while the other is centered at 0.89approximately Normal because the expected number of successes and failures for each sample are all at least 10not approximately Normal because the expected number of successes and failures for each sample are all at least 10not approximately Normal because the expected number of successes and failures for the teacher group are not both at least 10