Question

In 2010, the Maricopa Community College District's enrollment data 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 a random sample 0f 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the α=0.01α=0.01 level of significance, test the claim that the ethnic breakdown of students at MCCCD has not changed significantly since 2010.

Which would be correct hypotheses for this test?

• H0:μ1=μ2H0:μ1=μ2; H1:μ1≠μ2H1:μ1≠μ2
• H0:H0:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits); H1:H1:The breakdwon of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits)
• H0:H0:The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits); H1:H1:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)
• H0:p1=p2H0:p1=p2; H1:p1≠p2

Ethnicity of students in sample:

Ethnicity	Count
White	156
Hispanic	78
Black	25
Asian/Pacific Islander	8
Native American	15
Other	18

Test Statistic?

Give the P-value?

Which is the correct result?

• Reject the Null Hypothesis
• Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?

• There is not enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.
• There is enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.

Answer 1

Conclusion : There is enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.