Chapter 8, Problem 16SE

Embedded Tutors A college chemistry instructor thinks the use of embedded tutors will improve the success rate in introductory chemistry courses. The passing rate for introductory chemistry is $62\%.$ During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 140 passed the course.

a. What is $\hat{p}$, the sample proportion of students who passed introductory chemistry.

b. What is $p_0$, the proportion of students who pass introductory chemistry if the null hypothesis is true?

c. Find the value of the test statistic. Explain the test statistic in context.