10.9 Basic life support knowledge and willingness to enroll in a first-aid course. In the study of basic life support knowledge mentioned in Exercise 10.3, 51.1% students from nonbiological subjects said they would enroll in a first-aid course versus 74.7% of students from biological subjects. Is this change statistically significant at the 0.05 significance level?

a. Specify assumptions, notation, and hypotheses for a two-sided test.

b. Show how to find the pooled estimate of the proportion to use in a test. (Hint: You need the count in each year rather than the proportion.) Interpret this estimate.

c. Find the test statistic and P-value. Make a decision using a significance level of 0.05.