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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=0.05 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:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits); H1:The breakdwon of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits)
  • H0:The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits);  H1:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)
  • H0:μ1=μ2;H1:μ1≠μ2
  • 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 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

Hypothesis

option B)

H0:The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits);

H1:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)


Test Statistic: 15.464



Give the P-value: =CHISQ.DIST.RT(15.464,5)

0.008553257




Which is the correct result:

  • 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.

milcah answered 1 year ago
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