68% of students at a university live on campus. A random sample found that 30 of 45 male students and 43 of 60 of female students live on campus. At the 0.05 level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of male and female students who live on campus? A) No, because the test value -0.28 is inside the noncritical region -1.96

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68% of students at a university live on campus. A random sample found that 30 of 45
male students and 43 of 60 of female students live on campus. At the 0.05 level of
significance, is there sufficient evidence to support the claim that a difference exists
between the proportions of male and female students who live on campus?
A) No, because the test value -0.28 is inside the noncritical region -1.96 <z< 1.96.
B) No, because the test value -0.55 is inside the noncritical region -1.96 <z<1.96.
C) Yes, because test value -6.07 is outside the noncritical region -1.96 <z< 1.96.
D) No, because the test value -1.20 is inside the noncritical region -1.96 <z< 1.96.
Transcribed Image Text:68% of students at a university live on campus. A random sample found that 30 of 45 male students and 43 of 60 of female students live on campus. At the 0.05 level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of male and female students who live on campus? A) No, because the test value -0.28 is inside the noncritical region -1.96 <z< 1.96. B) No, because the test value -0.55 is inside the noncritical region -1.96 <z<1.96. C) Yes, because test value -6.07 is outside the noncritical region -1.96 <z< 1.96. D) No, because the test value -1.20 is inside the noncritical region -1.96 <z< 1.96.
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