Ms. Truman has always provided her statistics students with a small index card for each exam. The students are permitted to write whatever they want on the index card and use it on the exam. She decides to conduct an experiment to investigate if the distribution of grades will be different if she provides stude Observed counts:   Expected counts:   nts with a large index card. She has 80 students in her statistics classes this year. She randomly assigns 40 students to receive the typical small index card and 40 students to receive a large index card to use on the upcoming exam. The results of the exam are displayed in the tables. She would like to test these hypotheses: H0: There is no difference in the distribution of grades for all students like these who use a small or large index card. Ha: There is a difference in the distribution of grades for all students like these who use a small or large index card. The conditions for inference are met. The chi-square test statistic is χ‑2 = 10.67 and the P-value is between 0.025 and 0.05. Because the P-value is less than α = 0.05, there is convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card. Which grade contributed the most to the significance of this test? A B C D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Ms. Truman has always provided her statistics students with a small index card for each exam. The students are permitted to write whatever they want on the index card and use it on the exam. She decides to conduct an experiment to investigate if the distribution of grades will be different if she provides stude

Observed counts:

 

Expected counts:

 

nts with a large index card. She has 80 students in her statistics classes this year. She randomly assigns 40 students to receive the typical small index card and 40 students to receive a large index card to use on the upcoming exam. The results of the exam are displayed in the tables.

She would like to test these hypotheses:

H0: There is no difference in the distribution of grades for all students like these who use a small or large index card.
Ha: There is a difference in the distribution of grades for all students like these who use a small or large index card.

The conditions for inference are met. The chi-square test statistic is χ‑2 = 10.67 and the P-value is between 0.025 and 0.05. Because the P-value is less than α = 0.05, there is convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card.

Which grade contributed the most to the significance of this test?

A
B
C
D

 

Index Card Size
Small
Large
A
15.00
15.00
7.50
7.50
Grade
7.50
7.50
D
5.00
5.00
F
5.00
5.00
Transcribed Image Text:Index Card Size Small Large A 15.00 15.00 7.50 7.50 Grade 7.50 7.50 D 5.00 5.00 F 5.00 5.00
Index Card Size
Small
Large
A
8
22
В
10
5
Grade
10
D
6
4
F
4
Transcribed Image Text:Index Card Size Small Large A 8 22 В 10 5 Grade 10 D 6 4 F 4
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