The career center at a large university surveyed a random sample of students who graduated the previous year. Of the 125 surveyed students who majored in engineering, 90 were able to find a job within six months of graduating. Of the 68 surveyed students who majored in business, 51 were able to find a job within six months of graduating. Which of the following expressions gives a 90% confidence interval for the difference in the proportion of engineering and business majors who could find jobs within six months of graduating? (0.72)(0.28) 125 (A) 0.03±0.05, (0.75)(0.25) 68 (B) 0.03±1.645 (0.72)(0.28) (0.75)(0.25) 125 68 (C) 0.03±1.645, (0.731)(0.269) (0.731)(0.269) + (D) 0.03±1.96 + 125 (0.72)(0.28) (0.75)(0.25) 125 68 68 (E) 0.03±1.96, (0.731)(0.269) (0.731)(0.269) + 125 68

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Question
The career center at a large university surveyed a random sample of students who graduated the
previous year. Of the 125 surveyed students who majored in engineering, 90 were able to find a job
within six months of graduating. Of the 68 surveyed students who majored in business, 51 were able
to find a job within six months of graduating. Which of the following expressions gives a 90%
confidence interval for the difference in the proportion of engineering and business majors who
could find jobs within six months of graduating?
(0.72)(0.28)
125
(A) 0.03±0.05,
(0.75)(0.25)
68
(B) 0.03±1.645
(0.72)(0.28) (0.75)(0.25)
125
68
(C) 0.03±1.645,
(0.731)(0.269) (0.731)(0.269)
+
(D) 0.03±1.96
+
125
(0.72)(0.28) (0.75)(0.25)
125
68
68
(E) 0.03±1.96,
(0.731)(0.269) (0.731)(0.269)
+
125
68
Transcribed Image Text:The career center at a large university surveyed a random sample of students who graduated the previous year. Of the 125 surveyed students who majored in engineering, 90 were able to find a job within six months of graduating. Of the 68 surveyed students who majored in business, 51 were able to find a job within six months of graduating. Which of the following expressions gives a 90% confidence interval for the difference in the proportion of engineering and business majors who could find jobs within six months of graduating? (0.72)(0.28) 125 (A) 0.03±0.05, (0.75)(0.25) 68 (B) 0.03±1.645 (0.72)(0.28) (0.75)(0.25) 125 68 (C) 0.03±1.645, (0.731)(0.269) (0.731)(0.269) + (D) 0.03±1.96 + 125 (0.72)(0.28) (0.75)(0.25) 125 68 68 (E) 0.03±1.96, (0.731)(0.269) (0.731)(0.269) + 125 68
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