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 75%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 155 passed the course. a. What is p, the sample proportion of students who passed introductory chemistry? b. What is Po, 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.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer questions a) through c)
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