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a college student organization wants to start a nightclub for students under the age of 21. to assess support for this proposal, they will select an srs of students and ask each respondent if he or she would patronize this type of establishment. what sample size is required to obtain a 90% confi- dence interval with an approximate margin of error of 0.04? show your work.
a college student organization wants to start a nightclub for students under the age of 21. to assess support for this proposal, they will select an srs of students and ask each respondent if he or she would patronize this type of establishment. what sample size is required to obtain a 90% confi- dence interval with an approximate margin of error of 0.04? show your work.
To obtain a 90% confidenceintervalwith an approximatemargin of errorof 0.04, the student organization would need tosurveyapproximately 6,808students.In order to determine thesamplesize required to obtain a 90% confidence interval with an approximate margin of error of 0.04, we can use the formula:where n is the sample size, Z is the Z-score for the desired confidence level (in this case, Z = 1.65 for a 90% confidence level), p is the estimated proportion of thepopulationthat would support the proposal (assuming p = 0.5 for simplicity), and E is the desiredmarginof error (E = 0.04 in this case).Plugging in the values, we have:n = (2.7225 * 0.25) / 0.0016n = 10.890625 / 0.0016n = 6,807.890625For more such questions onErrorbrainly.com/question/29397166#SPJ4...