According to a recent national survey, 49% of students who attend a public university graduate with at least $15,000 of debt. At a large Midwestern university, a random sample of 200 recent graduates found that 110 of them had at least $15,000 of debt. If the percent of students who carry debt at this university is actually the same as the national average, which of the following represents the probability of getting a sample of 200 graduates in which 55% or more carry at least $15,000 of debt? (A) P z> (B) P z>- (C) P z> (D) 200 110 .55-.49 (.49)(.51) 200 .55-.49 (.55)(.45) 200 .49-.55 (.55)(.45) 200 (.49) ¹¹0 (51) ⁹⁰ (E) (200) (.51)¹10 (.51) ¹¹0 (49) ⁹⁰ 110

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. According to a recent national survey, 49% of students who attend a public university graduate with at
least $15,000 of debt. At a large Midwestern university, a random sample of 200 recent graduates
found that 110 of them had at least $15,000 of debt. If the percent of students who carry debt at this
university is actually the same as the national average, which of the following represents the
probability of getting a sample of 200 graduates in which 55% or more carry at least $15,000 of debt?
(A) P z>-
(B) P z>
(C) P z>
(D)
(E)
.55-.49
|(.49)(.51)
200
.55-.49
{(.55)(.45)
200
.49-.55
(.55)(.45)
200
200
(.49) ¹¹0 (51) ⁹⁰0
110
(200) (.51) ¹¹0 (49) ⁹⁰
110
Transcribed Image Text:. According to a recent national survey, 49% of students who attend a public university graduate with at least $15,000 of debt. At a large Midwestern university, a random sample of 200 recent graduates found that 110 of them had at least $15,000 of debt. If the percent of students who carry debt at this university is actually the same as the national average, which of the following represents the probability of getting a sample of 200 graduates in which 55% or more carry at least $15,000 of debt? (A) P z>- (B) P z> (C) P z> (D) (E) .55-.49 |(.49)(.51) 200 .55-.49 {(.55)(.45) 200 .49-.55 (.55)(.45) 200 200 (.49) ¹¹0 (51) ⁹⁰0 110 (200) (.51) ¹¹0 (49) ⁹⁰ 110
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