Research published in the International Journal of Electrical Engineering
Education (Oct. 2012) investigated the versatility of engineering students' knowledge of circuits with one resistor and one capacitor connected in series. Students were shown four different configurations of a resistor-capacitor circuit and then given two tasks. First, each student was asked to state the voltage at the nodes on the circuit and, second, each student was asked to graph the dynamic behavior of the circuit. Suppose that in a sample of 160 engineering students, 40 were randomly assigned to analyze Circuit 1, 40 assigned to Circuit 2, 40 assigned to Circuit 3, and 40 assigned to Circuit 4. The researchers categorized task grades as follows: correct voltages and graph, incorrect voltages but correct graph, incorrect graph but correct voltages, incorrect voltages and incorrect graph. A summary of the results (based on information provided in the journal article) is shown in the table. Does anyone circuit appear to be more difficult to analyze than any other circuit? Support your answer with a statistical test of hypothesis.

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Circuit Circuit Circuit Circuit 1 2 3 4 Both Correct 31 10 5 11 16 8. 4 12 14 10 Incorrect Voltage Incorrect Graph Answer 5 4 17 10 Both Incorrect Total Number 40 40 40 40 of Students