After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 96 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? O D. Ho: The die is unfair. HA: The die is fair. ) Check the conditions. Is the counted data condition met? No Yes s the randomization condition met? No Yes Face 123 Count 15 17 24

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 2C
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After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check,
you roll it 96 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness?
O D. Ho: The die is unfair. HA: The die is fair.
d) Check the conditions. Is the counted data condition met?
O No
V Yes
Is the randomization condition met?
O
No
V Yes
Is the expected cell frequency condition met?
Yes
No
e) How many degrees of freedom are there?
5
) Find ² and the P-value.
(Round to two decimal places as needed.)
C
Face
1
2
3
Count
15
17
24
Face
4
5
6
Full data set
Count
18
14
8
Transcribed Image Text:After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 96 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? O D. Ho: The die is unfair. HA: The die is fair. d) Check the conditions. Is the counted data condition met? O No V Yes Is the randomization condition met? O No V Yes Is the expected cell frequency condition met? Yes No e) How many degrees of freedom are there? 5 ) Find ² and the P-value. (Round to two decimal places as needed.) C Face 1 2 3 Count 15 17 24 Face 4 5 6 Full data set Count 18 14 8
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