Question

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 73%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 159 passed course. The instructor carried out a hypothesis test and found that the observed value of the test statistic was 2.07. The p-value associated with this test statistic is 0.0192. Explain the meaning of the p-value in this context. Based on this result, should the instructor believe the success rate has improved? Explain the meaning of the p-value in this context. Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) A. The probability of 159 or more introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is greater than 0.73. B. The probability of 159 or fewer introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is 0.73. C. The probability of 159 or fewer introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is less than 0.73. D. The probability of 159 or more introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is 0.73. In this situation, the p-value small, so the instructor believe the success rate has improved.

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 73%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 159 passed course. The instructor carried out a hypothesis test and found that the observed value of the test statistic was 2.07. The p-value associated with this test statistic is 0.0192. Explain the meaning of the p-value in this context. Based on this result, should the instructor believe the success rate has improved?
Explain the meaning of the p-value in this context. Select the correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal. Do not round.)
A. The probability of 159 or more introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is greater than 0.73.
B. The probability of 159 or fewer introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is 0.73.
C. The probability of 159 or fewer introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is less than 0.73.
D. The probability of 159 or more introductory chemistry students passing out of a random sample of 200 students is , assuming the population proportion is 0.73.
In this situation, the p-value small, so the instructor believe the success rate has improved.

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