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 was recorded 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 roll2OutcomeObservedfrequency O49USE SALT1State the null and alternate hypotheses.O Ho: The distributions are different.H₁: The distributions are different.ⒸHO: The distributions are the same.H₁: The distributions are different.O Ho: The distributions are the same.H₁: The distributions are the same.O Ho: The distributions are different.H₁: The distributions are the same.O No58Do 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 s(a) What is the level of significance?0.01normaluniform(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. RourAre all the expected frequencies greater than 5?Yes367What sampling distribution will you use?Ochi-squareStudent's tWhat are the degrees of freedom?545634 51 41 O normalO uniformWhat are the degrees of freedom?5(c) Estimate the P-value of the sample test statistic.OP-value > 0.100O 0.050 < P-value < 0.1000.025 < P-value < 0.050O 0.010 < P-value < 0.025O 0.005 < P-value < 0.010O P-value < 0.005(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?O Since the P-value > a, we fail to reject the null hypothesis.O Since the P-value > a, we reject the null hypothesis.O Since the P-value ≤ a, we reject the null hypothesis.O Since the P-value ≤ a, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.O At the 1% level of significance, the evidence is sufficient to conclude that the distribution of observed outcomes for the die is different fromO At the 1% level of significance, the evidence is insufficient to conclude that the distribution of observed outcomes for the die is different fr

Answered: A gambler complained about the dice.…

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 was recorded

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 was recorded

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 roll
2
Outcome
Observed
frequency O
49
USE SALT
1
State the null and alternate hypotheses.
O Ho: The distributions are different.
H₁: The distributions are different.
ⒸHO: The distributions are the same.
H₁: The distributions are different.
O Ho: The distributions are the same.
H₁: The distributions are the same.
O Ho: The distributions are different.
H₁: The distributions are the same.
O No
58
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 s
(a) What is the level of significance?
0.01
normal
uniform
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Rour
Are all the expected frequencies greater than 5?
Yes
3
67
What sampling distribution will you use?
Ochi-square
Student's t
What are the degrees of freedom?
5
4
5
6
34 51 41

O normal
O uniform
What are the degrees of freedom?
5
(c) Estimate the P-value of the sample test statistic.
OP-value > 0.100
O 0.050 < P-value < 0.100
0.025 < P-value < 0.050
O 0.010 < P-value < 0.025
O 0.005 < P-value < 0.010
O P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
O Since the P-value > a, we fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the P-value ≤ a, we reject the null hypothesis.
O Since the P-value ≤ a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 1% level of significance, the evidence is sufficient to conclude that the distribution of observed outcomes for the die is different from
O At the 1% level of significance, the evidence is insufficient to conclude that the distribution of observed outcomes for the die is different fr

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