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 57%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 132 passed th course. The instructor carried out a hypothesis test and found that the observed value of the test statistic was 2.57. The p-value associated with this test statistic is 0.0051. 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.) O A. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is is 0.57. assuming the population proportion O B. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is is greater than 0.57. assuming the population proportion O C. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is is 0.57. assuming the population proportion O D. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is is less than 0.57. assuming the population proportion

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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 57%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 132 passed the
course. The instructor carried out a hypothesis test and found that the observed value of the test statistic was 2.57. The p-value associated with this test statistic is
0.0051. Explain the meaning of the p-value in this context. Based on this result, should the instructor believe the success rate has improved?
pok
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.)
O A. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is
is 0.57.
assuming the population proportion
O B. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is
assuming the population proportion
is greater than 0.57.
OC. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is
is 0.57
assuming the population proportion
O D. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is
is less than 0.57.
assuming the population proportion
rces
Transcribed Image Text: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 57%. During one semester, 200 students were enrolled in introductory chemistry courses with an embedded tutor. Of these 200 students, 132 passed the course. The instructor carried out a hypothesis test and found that the observed value of the test statistic was 2.57. The p-value associated with this test statistic is 0.0051. Explain the meaning of the p-value in this context. Based on this result, should the instructor believe the success rate has improved? pok 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.) O A. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is is 0.57. assuming the population proportion O B. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is assuming the population proportion is greater than 0.57. OC. The probability of 132 or more introductory chemistry students passing out of a random sample of 200 students is is 0.57 assuming the population proportion O D. The probability of 132 or fewer introductory chemistry students passing out of a random sample of 200 students is is less than 0.57. assuming the population proportion rces
on Heip
A certain county is 27% African American. Suppose a researcher is looking at jury pools, each with 200 members, in this county. The null hypothesis is that the
probability of an African American being selected into the jury pool is 27%.
a. How many African Americans would the researcher expect on a jury pool of 200 people if the null hypothesis is true?
b. Suppose pool A contains 21 African American people out of 200, and pool B contains 36 African American people out of 200. Which will have a smaller p-value and
why?
a.
African Americans
(Type a whole number)
Transcribed Image Text:on Heip A certain county is 27% African American. Suppose a researcher is looking at jury pools, each with 200 members, in this county. The null hypothesis is that the probability of an African American being selected into the jury pool is 27%. a. How many African Americans would the researcher expect on a jury pool of 200 people if the null hypothesis is true? b. Suppose pool A contains 21 African American people out of 200, and pool B contains 36 African American people out of 200. Which will have a smaller p-value and why? a. African Americans (Type a whole number)
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