In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by...

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=0.10α=0.10 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 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≠p2H1:p1≠p2
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)

Ethnicity of students in sample:

Ethnicity	Count
White	141
Hispanic	76
Black	26
Asian/Pacific Islander	8
Native American	15
Other	34

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

Solutions

Expert Solution

orchestra answered 1 year ago

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