In a sample of 176 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 55 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.) USE SALT State the appropriate hypotheses. Ho: p = Ha 0.50 : p 0.50 Ho: p = 0.50 Ha: p > 0.50 Ho: p = 0.50 Ha: p < 0.50 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.) Z = P-value = What can you conclude? 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. 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. 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. 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 176 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 55 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.) USE SALT State the appropriate hypotheses. Ho: p = Ha 0.50 : p 0.50 Ho: p = 0.50 Ha: p > 0.50 Ho: p = 0.50 Ha: p < 0.50 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.) Z = P-value = What can you conclude? 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. 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. 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. 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Transcribed Image Text:In a sample of 176 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 55 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.)
USE SALT
State the appropriate hypotheses.
Ho: p =
Ha
0.50
: p 0.50
Ho: p = 0.50
Ha: p > 0.50
Ho: p = 0.50
Ha: p < 0.50
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.)
Z =
P-value =
What can you conclude?
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.
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.
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.
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.
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