Question
In: Math
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
milcah answered 7 months agoRelated Solutions
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 300 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...
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