64% of Students at a University Live on Campus $- 1.68$

question 29

Multiple Choice

64% of students at a university live on campus. A random sample found that 28 of 45 male students and 39 of 50 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 \(- 1.68\) is inside the noncritical region \(- 1.96 < z < 1.96\).
• B) Yes, because the test value \(- 3.69\) is outside the noncritical region \(- 1.96 < z < 1.96\).
• C) No, because the test value \(- 0.84\) is inside the noncritical region \(- 1.96 < z < 1.96\).
• D) Yes, because the test value \(- 17.98\) is outside the noncritical region \(- 1.96 < z < 1.96\).

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Definitions:

Population Means

The average value of a particular characteristic in the entire population.

Sampling Distribution

A sampling distribution is the probability distribution of a given statistic based on a random sample.

Independent Samples

Two or more groups of data that are collected from unrelated, separate populations with no paired or matched elements between them.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, used to estimate certain types of parameters.