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Education. Post-secondary educational institutions in the United States (trade schools, colleges, universities, etc.) traditionally offer four...

Education. Post-secondary educational institutions in the United States (trade schools, colleges, universities, etc.) traditionally offer four different types of degrees or certificates. The U.S. Department of Education recorded the highest degree granted by each of these institutions in the year 2003. The percentages are shown in the table below. A random sample of 225 institutions was taken in 2013 and the number of institutions in the sample for each category is also shown in the table. Conduct a hypothesis test to determine whether there has been any change from the percentages reported in 2003. Round all calculated values to four decimal places.

Highest Degree Awarded Population percentages in 2003 Sample counts in 2013
Certificate 35.0% 80
Associates 26.6% 54
Bachelor's 11.3% 28
Graduate 27.1% 63

a. Enter the expected values for the hypothesis test in the table below.

Highest Degree Awarded Expected value
Certificate
Associates
Bachelor's
Graduate

b. Calculate the test statistic for this hypothesis test.  ? z t X^2 F  =

c. Calculate the degrees of freedom for this hypothesis test.

d. Calculate the p-value for this hypothesis test. p-value =

e. Based on the p-value, we have:
A. little evidence
B. strong evidence
C. very strong evidence
D. some evidence
E. extremely strong evidence
that the null model is not a good fit for our observed data.

Solutions

Expert Solution


milcah answered 7 months ago
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