You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H.: PA = 0.25; pB = 0.25; pc = 0.1; pp: = 0.4 %3D Complete the table. Observed Expected Squared
You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H.: PA = 0.25; pB = 0.25; pc = 0.1; pp: = 0.4 %3D Complete the table. Observed Expected Squared
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Multinomial Hypothesis Test**
You are conducting a multinomial hypothesis test to examine the claim that the four categories occur with the following frequencies:
\[ H_0: p_A = 0.25; \, p_B = 0.25; \, p_C = 0.1; \, p_D = 0.4 \]
**Table Completion**
Complete the table below using the observed frequencies provided for each category.
| Category | Observed Frequency | Expected Frequency | Squared Residual |
|----------|---------------------|---------------------|-------------------|
| A | 39 | | |
| B | 13 | | |
| C | 16 | | |
| D | 25 | | |
**Chi-Square Calculation**
Calculate the chi-square test statistic for this data:
\[ \chi^2 = \]
Complete the table by finding the expected frequencies and squared residuals for each category based on the given proportions, and compute the chi-square statistic to test the hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1d46466-3ecc-4254-a208-a4cd9fff6ffc%2F12ecb258-ea67-4330-874a-8f8d6aa45568%2Fvsn30hc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Multinomial Hypothesis Test**
You are conducting a multinomial hypothesis test to examine the claim that the four categories occur with the following frequencies:
\[ H_0: p_A = 0.25; \, p_B = 0.25; \, p_C = 0.1; \, p_D = 0.4 \]
**Table Completion**
Complete the table below using the observed frequencies provided for each category.
| Category | Observed Frequency | Expected Frequency | Squared Residual |
|----------|---------------------|---------------------|-------------------|
| A | 39 | | |
| B | 13 | | |
| C | 16 | | |
| D | 25 | | |
**Chi-Square Calculation**
Calculate the chi-square test statistic for this data:
\[ \chi^2 = \]
Complete the table by finding the expected frequencies and squared residuals for each category based on the given proportions, and compute the chi-square statistic to test the hypothesis.
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