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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 plus-or-minus 1.96 startroot startfraction 0.38 (1 minus 0.38) over 100 endfraction endroot 0.62 plus-or-minus 1.96 startroot startfraction 0.62 (1 minus 0.62) over 100 endfraction endroot 0.38 plus-or-minus 1.65 startroot startfraction 0.38 (1 minus 0.38) over 1000 endfraction endroot 0.62 plus-or-minus 1.65 startroot startfraction 0.62 (1 minus 0.62) over 1000 endfraction endroot
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 plus-or-minus 1.96 startroot startfraction 0.38 (1 minus 0.38) over 100 endfraction endroot 0.62 plus-or-minus 1.96 startroot startfraction 0.62 (1 minus 0.62) over 100 endfraction endroot 0.38 plus-or-minus 1.65 startroot startfraction 0.38 (1 minus 0.38) over 1000 endfraction endroot 0.62 plus-or-minus 1.65 startroot startfraction 0.62 (1 minus 0.62) over 1000 endfraction endroot
The 95% confidence interval for thetrue proportionof first-year students who intend on majoring inliberal artsis option B. 0.62 plus-or-minus 1.96 start root start fraction 0.62 (1 minus 0.62) over 100 end fraction end root .What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknownparameterlies within.Confidence interval for thepopulation proportioncan be calculated as,p ± z ×Here, p is the sample proportion and n is thesample size.z valuefor 95% confidence interval is 1.96.Here, n = 100,p == 0.62Substitutingthe values, confidence interval of true proportion is,0.62 ± 1.96 ×Hence the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is 0.62 ± 1.96 ×.To solve more questions onConfidence Interval, click :brainly.com/question/22810586#SPJ2...