A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 2 4 5 Observed 64 45 62 32 47 50 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H.: The distributions are different
A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 2 4 5 Observed 64 45 62 32 47 50 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H.: The distributions are different
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One
die was rolled 300 times and the following frequencies were recorded.
Outcome
1
2
3
4
5
6
Observed
64
45
62
32
47
50
frequency O
A USE SALT
Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should
have the same expected frequency.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: The distributions are different.
H,: The distributions are the same.
O Ho: The distributions are the same.
H,: The distributions are different.
O Ho: The distributions are the same.
H,: The distributions are the same.
O Ho: The distributions are different.
H,: The distributions are different.
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal
places. Round the test statistic to three decimal places.)
Are all the expected frequencies greater than 5?
O Yes
O No
What sampling distribution will you use?
O normal
O uniform
O chi-square
O Student'st
What are the degrees of freedom?
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