Do male and female college students have the same distribution of living arrangements? Quiz
The question sheet
Reveal any answer as you study-
What is the alternative hypothesis for the living arrangements test?
- Males prefer apartments
- The distributions are not the same
- Females prefer dormitories
- The distributions are the same
Reveal answer
Answer: The distributions are not the same
Source evidence
PDF page 613: Ha: The distribution of living arrangements for male college students is not the same as the distribution of living arrangements for female college students.
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How many degrees of freedom does the living arrangements test have?
- 1
- 2
- 3
- 4
Reveal answer
Answer: 3
Source evidence
PDF page 613: df = (number of columns – 1)(number of rows – 1) = (4 – 1)(2– 1) = 3
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Which formula gives the degrees of freedom for the living arrangements test?
- (2-1)(2-1)
- (3-1)(2-1)
- (4-1)(2-1)
- (4-1)(4-1)
Reveal answer
Answer: (4-1)(2-1)
Source evidence
PDF page 613: df = (number of columns – 1)(number of rows – 1) = (4 – 1)(2– 1) = 3
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What is the test statistic for the living arrangements test?
- 0.05
- 3.2603
- 10.1287
- 0.0175
Reveal answer
Answer: 10.1287
Source evidence
PDF page 613: 2 Calculate the test statistic: χ = 10.1287 (calculator or computer)
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What is the p-value for the living arrangements test?
- 10.1287
- 0.1959
- 0.05
- 0.0175
Reveal answer
Answer: 0.0175
Source evidence
PDF page 613: Probability statement: p-value = P(χ >10.1287) = 0.0175
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When no alpha is given for the living arrangements test, what value is assumed?
- 0.025
- 0.05
- 0.10
- 0.01
Reveal answer
Answer: 0.05
Source evidence
PDF page 615: Compare α and the p-value: Since no α is given, assume α = 0.05. p-value = 0.0175. α > p-value.
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How does alpha compare to the p-value in the living arrangements test?
- cannot be determined
- alpha = p-value
- alpha < p-value
- alpha > p-value
Reveal answer
Answer: alpha > p-value
Source evidence
PDF page 615: Compare α and the p-value: Since no α is given, assume α = 0.05. p-value = 0.0175. α > p-value.
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What decision is made in the living arrangements test?
- Do not reject H0
- Accept Ha as proven
- Reject H0
- No decision possible
Reveal answer
Answer: Reject H0
Source evidence
PDF page 615: Make a decision: Since α > p-value, reject H0. This means that the distributions are not the same.
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What does rejecting H0 mean for the living arrangements test?
- Females live in dorms more
- Males live at home more
- The distributions are not the same
- The distributions are the same
Reveal answer
Answer: The distributions are not the same
Source evidence
PDF page 615: Make a decision: Since α > p-value, reject H0. This means that the distributions are not the same.
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At what significance level is the living arrangements conclusion drawn?
- 5 percent
- 1 percent
- 10 percent
- 2.5 percent
Reveal answer
Answer: 5 percent
Source evidence
PDF page 615: Conclusion: At a 5 percent level of significance, from the data, there is sufficient evidence to conclude that the distributions of living arrangements for male and female college students are not the same.
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What can the test of homogeneity NOT tell us?
- The test statistic value
- Whether distributions are the same
- How the distributions differ
- The p-value
Reveal answer
Answer: How the distributions differ
Source evidence
PDF page 615: Notice that the conclusion is only that the distributions are not the same. We cannot use the test for homogeneity to draw any conclusions about how they differ.
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What are the four living arrangement categories used?
- Dorm, house, condo, other
- Dorm, apartment, parents, other
- Sport, sedan, truck, van
- Owned, rented, leased, other
Reveal answer
Answer: Dorm, apartment, parents, other
Source evidence
PDF page 613: Dormitory Apartment With Parents Other
Statistics
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