In a sample of 174 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 52 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the proportion of students at this university who do not share this belief.) State the appropriate hypotheses. O Ho: P = 0.50 H₂:p> 0.50 Ho: P = 0.50 H:P < 0.50 Ho: P = 0.50 H₂: P = 0.50 USE SALT O Ho: p > 0.50 H₂: P = 0.50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What can you conclude? O Reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Do not reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Do not reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
In a sample of 174 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 52 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the proportion of students at this university who do not share this belief.) State the appropriate hypotheses. O Ho: P = 0.50 H₂:p> 0.50 Ho: P = 0.50 H:P < 0.50 Ho: P = 0.50 H₂: P = 0.50 USE SALT O Ho: p > 0.50 H₂: P = 0.50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What can you conclude? O Reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Do not reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students. O Do not reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:In a sample of 174 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 52 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the
university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the proportion of students at this university who do not share this belief.)
State the appropriate hypotheses.
O Ho: P = 0.50
H₂: p > 0.50
O Ho: P = 0.50
H₂: P < 0.50
O Ho: P = 0.50
H₂: P = 0.50
O Ho: p > 0.50
Ha: P = 0.50
USE SALT
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z =
P-value =
What can you conclude?
O Reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
O Reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
O Do not reject the null hypothesis. There is sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
O Do not reject the null hypothesis. There is not sufficient evidence that more than 50% of all students do not share the belief that the plagiarism-detection software unfairly targets students.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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