In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of sophomores and 31 seniors from this high school are asked if they have a part-time job. Let Bnder and Ber be th 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 Bnder-Bupper? O bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 O appraximately 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 O 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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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 Br and B 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 Bnder-Pupper?
O bimodal because one population proportion is centered at 0.18, while the other is centered at 0,67
O approximately Normal because the expected numbers of successes and failures for each sample are all at least
O not approximately Normal because the expected numbers of successes and failures for each sample are all at
least 10
10
O 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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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 Br and B 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 Bnder-Pupper? O bimodal because one population proportion is centered at 0.18, while the other is centered at 0,67 O approximately Normal because the expected numbers of successes and failures for each sample are all at least O not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 10 O not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10 Save and Exit Next Submit Mark this and retum 9% & 8 9 10 y
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