52. Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?" The Minitab output below shows the results of a significance test and a 95% confidence interval based on the survey data.16 Session Test and Cl for One Proportion Test of p - 0.15 va p not - 0.15 Sample X N Sample p 1 951 CI Z-Value P-Value 19 172 0.110465 (0.063619, 0.157312) -1.45 0.146 (a) Define the parameter of interest. (b) Check that the conditions for performing the signifi- cance test are met in this case. (c) Interpret the P-value in context. (d) Do these data give convincing evidence that the ac- tual population proportion differs from 0.15? Justify your answer with appropriate evidence.

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52. Reporting cheating What proportion of students
are willing to report cheating by other students? A
student project put this question to an SRS of 172
undergraduates at a large university: "You witness
two students cheating on a quiz. Do you go to the
professor?" The Minitab output below shows the
results of a significance test and a 95% confidence
interval based on the survey data."
16
E Session
Test and Cl for One Proportion
Test of p - 0.15 va p not = 0.15
Sample X N Sample p
95 CI
Z-Value P-Value
1
19 172 0.110465 (0.063619, 0.157312)
-1.45
0.146
(a) Define the parameter of interest.
(b) Check that the conditions for performing the signifi-
cance test are met in this case.
(c) Interpret the P-value in context.
(d) Do these data give convincing evidence that the ac-
tual population proportion differs from 0.15? Justify
your answer with appropriate evidence.
Transcribed Image Text:52. Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" The Minitab output below shows the results of a significance test and a 95% confidence interval based on the survey data." 16 E Session Test and Cl for One Proportion Test of p - 0.15 va p not = 0.15 Sample X N Sample p 95 CI Z-Value P-Value 1 19 172 0.110465 (0.063619, 0.157312) -1.45 0.146 (a) Define the parameter of interest. (b) Check that the conditions for performing the signifi- cance test are met in this case. (c) Interpret the P-value in context. (d) Do these data give convincing evidence that the ac- tual population proportion differs from 0.15? Justify your answer with appropriate evidence.
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