A college student organization wants to start a nightclub for students under the

Question

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. They expect that about 5% of the student body would respond favorably (a) what sample size is required to obtain a 99% confidence interval with an approximate margin of error of 0.036? 960 (b) Suppose that 55% of the sample responds favorably. Calculate the margin of error for the 99% confidence interval 1266

Explanation / Answer

(a) p^ = 0.75 z = 2.576

ME = z (p^(1-p^)/n) = 0.036

=> 2.576 * (0.75 * 0.25 / n) = 0.036

=> n = 2.5762 * 0.75 * 0.25 / 0.0362 = 960.

(b) p^ = 0.55

ME = z (p^(1-p^)/n)

= 2.576 (0.55 * 0.45 / 960)

= 0.0414.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.