In a random sample of 963 students from a large public university, it was found

Question

In a random sample of 963 students from a large public university, it was found that 462 of the students changed majors during their college years. (a) Give a 95% confidence interval for the proportion of students at this university who change majors. (Round your answers to four decimal places.) (b) Express your results from (a) in terms of the percent of students who change majors. (Round your answers to two decimal places.) (c) University officials concerned with counseling students are interested in the number of students who change majors rather than the proportion. The university has 37,200 undergraduate students. Convert the confidence interval you found in (a) to a confidence interval for the number of students who change majors during their college years. (Round your answers to the nearest whole number.) students students

Explanation / Answer

A) p^=x/n=462/963=0.480

Margin of error=z*sqrt (pq/n)= 0.032

Here z=1.96, n=963

Hence 95% confidence interval

(0.4482,0.5113)

B)

Just multiply by 100

(44.82,51.13)

C)

37200*0.448=16666

37200*0.512=19046

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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