1. Gallbladder disease was the most common hospitalization diagnosis in the year 2000 in the United States. Although morbidity and mortality has decreased over the years, it remains a significant risk for countries and populations across the world. Accurately diagnosing acute cholecystitis, the most common complication of gallbladder disease, remains important for prompt treatment. In "Comparing the Diagnostic Accuracy of Ultrasound and CT in Evaluating Acute Cholecystitis" by Wertz et al., the authors evaluate the accuracy of both imaging modalities in a specific population of people with acute cholecystitis to determine if one is more accurate than the other. Data are provided in the following table.

		Computed Tomography (CT)
		Correct	Incorrect
Ultrasound (US)	Correct	25	2
Incorrect	10	5

Using a 0.05 significance level, you need to test the claim that there is a difference in accuracy between the two technologies. Is one better than the other?

1. We reject H₀ due to sufficient evidence and conclude that the proportion of acute cholecystitis correctly diagnosed by CT and US are equal.
2. We reject H₀ due to sufficient evidence and conclude that the proportion of acute cholecystitis correctly diagnosed by CT and US are different.
3. We fail to reject H₀ due to insufficient evidence and conclude that the proportion of acute cholecystitis correctly diagnosed by CT and US are different.
4. We fail to reject H₀ due to insufficient evidence and conclude that the proportion of acute cholecystitis correctly diagnosed by CT and US are equal.
5. We cannot test this claim due to insufficient population numbers.