A random sample of 100 high school students was asked, "Do you prefer to be a leader or a follower?" The responses were then classified according to grade level. Here is a bar graph of the results: Frequency 30 25 20 15 10 5 0 6 12 9th Grade and Leadership Preference 4 18 10th 7 25 11th Grade Level 12 16 12th Leader Follower Based on this sample, is there convincing evidence of an association between grade level and leadership preference in the population of students at this large high school? Use a = 0.05. Provide statistical evidence to support your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Use State/Plan/Do/Conclude procedure. For "Do", include P-value, t-value (or t-score), and degrees of freedom.

A random sample of 100 high school students was asked, "Do you prefer to be a leader or a follower?"
The responses were then classified according to grade level. Here is a bar graph of the results:
Frequency
30
25
20
10
5
6
12
9th
Grade and Leadership Preference
4
18
10th
7
25
11th
Grade Level
12
16
12th
Leader
Follower
Based on this sample, is there convincing evidence of an association between grade level and leadership
preference in the population of students at this large high school? Use a = 0.05. Provide statistical
evidence to support your answer.
Transcribed Image Text:A random sample of 100 high school students was asked, "Do you prefer to be a leader or a follower?" The responses were then classified according to grade level. Here is a bar graph of the results: Frequency 30 25 20 10 5 6 12 9th Grade and Leadership Preference 4 18 10th 7 25 11th Grade Level 12 16 12th Leader Follower Based on this sample, is there convincing evidence of an association between grade level and leadership preference in the population of students at this large high school? Use a = 0.05. Provide statistical evidence to support your answer.
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