A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met, what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms? 0.24 plus-or-minus 1.96 StartRoot StartFraction 0.24 (1 minus 0.24) Over 200 EndFraction EndRoot 0.76 plus-or-minus 1.96 StartRoot StartFraction 0.76 (1 minus 0.24) Over 200 EndFraction EndRoot 0.24 plus-or-minus 1.65 StartRoot StartFraction 0.24 (1 minus 0.24) Over 50 EndFraction EndRoot 0.76 plus-or-minus 1.95 StartRoot StartFraction 0.76 (1 minus 0.76) Over 50 EndFraction EndRoot
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met, what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms? 0.24 plus-or-minus 1.96 StartRoot StartFraction 0.24 (1 minus 0.24) Over 200 EndFraction EndRoot 0.76 plus-or-minus 1.96 StartRoot StartFraction 0.76 (1 minus 0.24) Over 200 EndFraction EndRoot 0.24 plus-or-minus 1.65 StartRoot StartFraction 0.24 (1 minus 0.24) Over 50 EndFraction EndRoot 0.76 plus-or-minus 1.95 StartRoot StartFraction 0.76 (1 minus 0.76) Over 50 EndFraction EndRoot
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Question
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met, what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 plus-or-minus 1.96 StartRoot StartFraction 0.24 (1 minus 0.24) Over 200 EndFraction EndRoot
0.76 plus-or-minus 1.96 StartRoot StartFraction 0.76 (1 minus 0.24) Over 200 EndFraction EndRoot
0.24 plus-or-minus 1.65 StartRoot StartFraction 0.24 (1 minus 0.24) Over 50 EndFraction EndRoot
0.76 plus-or-minus 1.95 StartRoot StartFraction 0.76 (1 minus 0.76) Over 50 EndFraction EndRoot
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