in 2010, the Maricopa Community College District's enrollmentdata showed the following breakdown of students by ethnicity: 54.9%White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander;2.9% Native American; 8.8% Other. Information was collected from arandom sample 0f 300 students in 2017 to determine whether or notthe data has changed significantly. The sample data is given in thetable below. At the ?=0.05 level of significance, testthe claim that the ethnic breakdown of students at MCCCD has notchanged significantly since 2010.
Which would be correct hypotheses for this test?
- H0:The breakdown of students by ethnicity has changedsignificantly since 2010 (i.e. the given distribution no longerfits); H1:The breakdwon of students by ethnicity has not changedsignificantly since 2010 (i.e. the given distribution stillfits)
- H0:The breakdown of students by ethnicity has not changedsignificantly since 2010 (i.e. the given distribution stillfits); H1:The breakdown of students by ethnicity haschanged significantly since 2010 (i.e. the given distribution nolonger fits)
- H0:?1=?2;H1:?1??2
- H0:p1=p2;2H1:p1?p2
Ethnicity of students in sample:
| Ethnicity | Count |
|---|
| White | 137 |
| Hispanic | 71 |
| Black | 27 |
| Asian/Pacific Islander | 12 |
| Native American | 14 |
| Other | 39 |
Test Statistic:
Give the P-value:
Which is the correct result:
- Do not Reject the Null Hypothesis
- Reject the Null Hypothesis
Which would be the appropriate conclusion?
- There is enough evidence to suggest that the breakdown ofstudents by ethnicity has changed significantly since 2010.
- There is not enough evidence to suggest that the breakdown ofstudents by ethnicity has changed significantly since 2010.
