reference of major. The officer randomly selects 100 of them and asks if they intend to major in liberal arts. Of the p0 first-year students, 62 state they intend on majoring in liberal arts. Assuming the conditions for inference have een met, what is the 95% confidence interval for the true proportion of first-year students who intend on majoring in peral arts? D 0.38+1.96 0.38(1-0.38) 100 0.62(1-0.62) O 0.62 ±1.96, 100 0.38(1- 0.38) O 0.38±1.65, 1000 0.62(1-0.62) O 0.62 ±1.65, 1000

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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At a local college, an admissions officer surveys the incoming class of 1,000 first-year students concerning their
preference of major. The officer randomly selects 100 of them and asks if they intend to major in liberal arts. Of the
100 first-year students, 62 state they intend on majoring in liberal arts. Assuming the conditions for inference have
been met, what is the 95% confidence interval for the true proportion of first-year students who intend on majoring in
liberal arts?
|0.38(1– 0.38)
0.38+1.96,
100
0.62(1-0.62)
O 0.62 ±1.96,
100
0.38(1-0.38)
0.38±1.65
1000
0.62(1-0.62)
0.62 ±1.65
1000
Transcribed Image Text:At a local college, an admissions officer surveys the incoming class of 1,000 first-year students concerning their preference of major. The officer randomly selects 100 of them and asks if they intend to major in liberal arts. Of the 100 first-year students, 62 state they intend on majoring in liberal arts. Assuming the conditions for inference have been met, what is the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts? |0.38(1– 0.38) 0.38+1.96, 100 0.62(1-0.62) O 0.62 ±1.96, 100 0.38(1-0.38) 0.38±1.65 1000 0.62(1-0.62) 0.62 ±1.65 1000
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