A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a particular university. An analysis of the responses provided the following teaching-ability rankings. Professor O Ho: Ps+0 H₂: P₂ = 0 OH: P ≤0 H:P >0 Ho: Ps >0 H₁₂ : P = 0 O 1 2 Ho: Ps = 0 H:P #0 3 4 5 6 7 8 9 10 Current Students ✓ 4 6 8 3 1 2 5 10 7 9 Recent Graduates 6 8 5 1 2 Do the rankings given by the current students agree with the rankings given by the recent graduates? Compute the rank correlation between current students and recent graduates. (Round your answer to three decimal places.) 0.624 3 's Use a = 0.10 and test for a significant rank correlation. State the null and alternative hypotheses. O Ho: Ps 20 Ha: Ps <0 7 9 10 4 Find the value of the test statistic. (Round your answer to two decimal places.) 2.26 x Find the p-value. (Round your answer to four decimal places.) p-value = [0.0537 x What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. ● Reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a
particular university. An analysis of the responses provided the following teaching-ability rankings.
Professor
O Ho: Ps #0
H₂: Ps= 0
O Ho: Ps ≤0
Ha: P >0
O Ho: Ps > 0
= 0
H₂: Ps=
1
2
● Ho: Ps= 0
Ha: Ps *0
3
4
5
6
7
8
9
10
Current
Students
4
6
8
3
1
2
5
10
7
9
Recent
Graduates
6
8
5
1
2
3
Do the rankings given by the current students agree with the rankings given by the recent graduates?
Compute the rank correlation between current students and recent graduates. (Round your answer to three decimal places.)
's= 0.624 ✓
7
Use α = 0.10 and test for a significant rank correlation.
State the null and alternative hypotheses.
O Ho: Ps 20
Ha: Ps <0
9
10
4
Find the value of the test statistic. (Round your answer to two decimal places.)
2.26
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0537
X
What is your conclusion?
O Reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current students
and recent graduates in terms of professor teaching ability.
O Reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current students and
recent graduates in terms of professor teaching ability.
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current
students and recent graduates in terms of professor teaching ability.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current
students and recent graduates in terms of professor teaching ability.
Transcribed Image Text:A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a particular university. An analysis of the responses provided the following teaching-ability rankings. Professor O Ho: Ps #0 H₂: Ps= 0 O Ho: Ps ≤0 Ha: P >0 O Ho: Ps > 0 = 0 H₂: Ps= 1 2 ● Ho: Ps= 0 Ha: Ps *0 3 4 5 6 7 8 9 10 Current Students 4 6 8 3 1 2 5 10 7 9 Recent Graduates 6 8 5 1 2 3 Do the rankings given by the current students agree with the rankings given by the recent graduates? Compute the rank correlation between current students and recent graduates. (Round your answer to three decimal places.) 's= 0.624 ✓ 7 Use α = 0.10 and test for a significant rank correlation. State the null and alternative hypotheses. O Ho: Ps 20 Ha: Ps <0 9 10 4 Find the value of the test statistic. (Round your answer to two decimal places.) 2.26 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0537 X What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. O Reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant rank correlation between current students and recent graduates in terms of professor teaching ability.
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