In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let Under and Pupper be the sample proportions of sophomores and seniors, respectively, who have part-time jobs. Which of the following is the correct shape and justification of the sampling distribution of under-Pupper? O bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 O not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random
samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let
Under and Pupper be the sample proportions of sophomores and seniors, respectively, who have part-time
jobs.
Which of the following is the correct shape and justification of the sampling distribution of under-Pupper?
bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67
approximately Normal because the expected numbers of successes and failures for each sample are all at
least 10
not approximately Normal because the expected numbers of successes and failures for each sample are
all at least 10
not approximately Normal because the expected numbers of successes and failures for the sophomores
group are not both at least 10
Transcribed Image Text:In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let Under and Pupper be the sample proportions of sophomores and seniors, respectively, who have part-time jobs. Which of the following is the correct shape and justification of the sampling distribution of under-Pupper? bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10
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