38. A biomedical scientist from a major research university suggested that students should always ask for help when it is needed. A science teacher decided to investigate whether some students are more likely to ask for help than others. The teacher randomly selected 200 students from a Biology II course and gave them directions for a short lab procedure that were purposefully unclear. For each student, the teacher recorded whether the student asked for clarification and the grade the student earned, A, B, or C, in the preceding Biology I course. Results are listed in the following table. Asked Did Not Ask for for Clarification Clarification Total Earned an A in Biology I 20 6 26 Earned a B in Biology I 71 31 102 Earned a C in Biology I 37 35 72 Total 128 72 200 The value of the test statistic for the appropriate chi-square test is approximately 8.25. Assume the conditions for inference were met. Do the sample data provide convincing statistical evidence of an association between grade in the preceding Biology I course and whether a student asks for clarification at the 5 percent level of significance? (A) Yes, because the p-value is greater than 0.05. (B) Yes, because the p-value is less than 0.05. (C) No, because the p-value is greater than 0.05. (D) No, because the p-value is less than 0.05. (E) No, because the test statistic is greater than 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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38. A biomedical scientist from a major research university suggested that students should
always ask for help when it is needed. A science teacher decided to investigate whether
some students are more likely to ask for help than others. The teacher randomly selected
200 students from a Biology II course and gave them directions for a short lab
procedure that were purposefully unclear. For each student, the teacher recorded whether
the student asked for clarification and the grade the student earned, A, B, or C, in the
preceding Biology I course. Results are listed in the following table.
Asked
Did Not Ask
for
for
Clarification Clarification
Total
Earned an A in Biology I 20 6 26 Earned a B in Biology I 71 31 102 Earned a C in Biology I 37 35 72 Total
128 72 200
The value of the test statistic for the appropriate chi-square test is approximately 8.25. Assume the conditions for
inference were met. Do the sample data provide convincing statistical evidence of an association between grade in the
preceding Biology I course and whether a student asks for clarification at the 5 percent level of significance?
(A) Yes, because the p-value is greater than 0.05.
(B) Yes, because the p-value is less than 0.05.
(C) No, because the p-value is greater than 0.05.
(D) No, because the p-value is less than 0.05.
(E) No, because the test statistic is greater than 0.05.
Transcribed Image Text:38. A biomedical scientist from a major research university suggested that students should always ask for help when it is needed. A science teacher decided to investigate whether some students are more likely to ask for help than others. The teacher randomly selected 200 students from a Biology II course and gave them directions for a short lab procedure that were purposefully unclear. For each student, the teacher recorded whether the student asked for clarification and the grade the student earned, A, B, or C, in the preceding Biology I course. Results are listed in the following table. Asked Did Not Ask for for Clarification Clarification Total Earned an A in Biology I 20 6 26 Earned a B in Biology I 71 31 102 Earned a C in Biology I 37 35 72 Total 128 72 200 The value of the test statistic for the appropriate chi-square test is approximately 8.25. Assume the conditions for inference were met. Do the sample data provide convincing statistical evidence of an association between grade in the preceding Biology I course and whether a student asks for clarification at the 5 percent level of significance? (A) Yes, because the p-value is greater than 0.05. (B) Yes, because the p-value is less than 0.05. (C) No, because the p-value is greater than 0.05. (D) No, because the p-value is less than 0.05. (E) No, because the test statistic is greater than 0.05.
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