1. For this study, we should use [Select an answer 2. Your friend Caroline helped you with the null and alternative hypotheses... 1 Ho: P₁ P2 P3 P4 P5 = 5 H₁: At least one of the categories has a different probability of being selected. You drew 102 samples, and the observed frequencies are recorded below. Please complete the table using exact answers (e.g., whole numbers or decimal). Categories 1 2 3 4 5 Observed Frequency 24 10 25 16 27 3. The degree of freedom The test-statistic for this data = Expected Frequency (Please show your answer to three decimal places.) 4. The p-value for this sample= 5. The p-value is Select an answer 6. Base on this, we should [Select an answer 7. As such, the final conclusion is that... O Base on the sample data, there is sufficient evidence to conclude the claim that not all 5 categories are equally likely to be selected at the significant level of a = 0.1. va (Please show your answer to four decimal places.) hypothesis Base on the sample data, there is not sufficient evidence to conclude the claim that not all 5 categories are equally likely to be selected at the significant level of α = 0.1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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You are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that not all 5 categories
are equally likely to be selected at the significant level of a =
= 0.1.
1. For this study, we should use Select an answer
2. Your friend Caroline helped you with the null and alternative hypotheses...
1
Ho: P₁ P2 P3 P4 P5 = 5
H₁: At least one of the categories has a different probability of being selected.
You drew 102 samples, and the observed frequencies are recorded below. Please complete the table
using exact answers (e.g., whole numbers or decimal).
Categories
1
2
3
4
5
Observed
Frequency
24
10
25
16
27
3. The degree of freedom -
The test-statistic for this data =
4. The p-value for this sample=
Expected
Frequency
5. The p-value is Select an answer V α
6. Base on this, we should Select an answer
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
hypothesis
7. As such, the final conclusion is that...
O Base on the sample data, there is sufficient evidence to conclude the claim that not all 5
categories are equally likely to be selected at the significant level of α = 0.1.
Base on the sample data, there is not sufficient evidence to conclude the claim that not all 5
categories are equally likely to be selected at the significant level of α = 0.1.
Transcribed Image Text:You are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that not all 5 categories are equally likely to be selected at the significant level of a = = 0.1. 1. For this study, we should use Select an answer 2. Your friend Caroline helped you with the null and alternative hypotheses... 1 Ho: P₁ P2 P3 P4 P5 = 5 H₁: At least one of the categories has a different probability of being selected. You drew 102 samples, and the observed frequencies are recorded below. Please complete the table using exact answers (e.g., whole numbers or decimal). Categories 1 2 3 4 5 Observed Frequency 24 10 25 16 27 3. The degree of freedom - The test-statistic for this data = 4. The p-value for this sample= Expected Frequency 5. The p-value is Select an answer V α 6. Base on this, we should Select an answer (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) hypothesis 7. As such, the final conclusion is that... O Base on the sample data, there is sufficient evidence to conclude the claim that not all 5 categories are equally likely to be selected at the significant level of α = 0.1. Base on the sample data, there is not sufficient evidence to conclude the claim that not all 5 categories are equally likely to be selected at the significant level of α = 0.1.
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