AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Cumulative Exam — Cumulative examQuestion 46
46
QuizMultiple Choice
Cumulative Exam — Cumulative exam
Question 46 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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 and 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 ?
Answer
A
bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67B
approximately Normal because the expected numbers of successes and failures for each sample are all at least 10C
not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10D
not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10