number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.05. For this study, we should use Select an answer Your friend Matthew helped you with the null and alternative hypotheses... 1 Ho: P1 P2 P2 = P3 P4 P5 = P6= 6 H₁: At least one of the proportion is different from the others. You drew 90 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals). Number Observed Expected Rolled Frequency Frequency

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Your statistics instructor would like to use a 6-side die (with each of its six faces showing a different
number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more
numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit
hypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.05.
For this study, we should use Select an answer
Your friend Matthew helped you with the null and alternative hypotheses...
1
Ho: P₁ P2 P2 = P3 P4 P5 = P6 =
6
H₁: At least one of the proportion is different from the others.
You drew 90 samples, and the observed frequencies are recorded below. Please complete the table using
exact answer (e.g., whole numbers, fractions or decimals).
Number
Rolled
1
2
3
4
5
6
Observed Expected
Frequency
Frequency
12
6
10
5
29
28
The degree of freedom =
The test-statistic for this data =
The p-value for this sample=
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
The p-value is Select an answer
Base on this, we should Select an answer
As such, the final conclusion is that...
Base on the sample data, there is sufficient evidence to conclude the claim that not all 6 categories
are equally likely to be selected at the significant level of a = 0.05.
la
hypothesis
O Base on the sample data, there is not sufficient evidence to conclude the claim that not all 6
categories are equally likely to be selected at the significant level of a = 0.05.
Transcribed Image Text:Your statistics instructor would like to use a 6-side die (with each of its six faces showing a different number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.05. For this study, we should use Select an answer Your friend Matthew helped you with the null and alternative hypotheses... 1 Ho: P₁ P2 P2 = P3 P4 P5 = P6 = 6 H₁: At least one of the proportion is different from the others. You drew 90 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals). Number Rolled 1 2 3 4 5 6 Observed Expected Frequency Frequency 12 6 10 5 29 28 The degree of freedom = The test-statistic for this data = The p-value for this sample= (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) The p-value is Select an answer Base on this, we should Select an answer As such, the final conclusion is that... Base on the sample data, there is sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of a = 0.05. la hypothesis O Base on the sample data, there is not sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of a = 0.05.
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