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, and i, 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, - i, ? bimodal because one population proportion is centered at 0.37, while the other is centered at 0.89 approximately Normal because the expected number of successes and failures for each sample are all at least 10 not approximately Normal because the expected number of successes and failures for each sample are all at leas 10 not approximately Normal because the expected number of successes and failures for the teacher group are not both at least 10

MATLAB: An Introduction with Applications
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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; and p, 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;-B, ?
O bimodal because one population proportion is centered at 0.37, while the other is centered at 0.89
approximately Normal because the expected number of successes and failures for each sample are all at least 10
O not approximately Normal because the expected number of successes and failures for each sample are all at least
10
not approximately Normal because the expected number of successes and failures for the teacher group are not
both at least 10
Transcribed Image Text: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; and p, 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;-B, ? O bimodal because one population proportion is centered at 0.37, while the other is centered at 0.89 approximately Normal because the expected number of successes and failures for each sample are all at least 10 O not approximately Normal because the expected number of successes and failures for each sample are all at least 10 not approximately Normal because the expected number of successes and failures for the teacher group are not both at least 10
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