Question

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 three 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. What is your conclusion using αα = 0.05?

A. Reject H0H0
B. Do not reject H0H0

Answer 1