The expected observations for this table would be...? Round all answers to three decimal places. Category A B Population #1 Population #2 What is the chi-square test-statistic for this data? Round to three decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The image provides an example of how to test for a relationship between categories and populations using a chi-square test. Here's a transcription and an explanation:

---

**Table 1: Observed Frequencies**

| Category | Population #1 | Population #2 |
|----------|---------------|---------------|
| A        | 18            | 13            |
| B        | 54            | 51            |

---

The task is to calculate the expected observations for the above table and fill in the following table, rounding all answers to three decimal places.

**Table 2: Expected Frequencies**

| Category | Population #1 | Population #2 |
|----------|---------------|---------------|
| A        | [ ]           | [ ]           |
| B        | [ ]           | [ ]           |

---

**Chi-Square Test:**

The final step is to calculate the chi-square test statistic for this data, also rounded to three decimal places.

\[ \chi^2 = [ ] \]

This example provides a basic framework for conducting a chi-square test, which compares observed frequencies to expected frequencies to assess if there is a significant relationship between the categories and populations being studied.
Transcribed Image Text:The image provides an example of how to test for a relationship between categories and populations using a chi-square test. Here's a transcription and an explanation: --- **Table 1: Observed Frequencies** | Category | Population #1 | Population #2 | |----------|---------------|---------------| | A | 18 | 13 | | B | 54 | 51 | --- The task is to calculate the expected observations for the above table and fill in the following table, rounding all answers to three decimal places. **Table 2: Expected Frequencies** | Category | Population #1 | Population #2 | |----------|---------------|---------------| | A | [ ] | [ ] | | B | [ ] | [ ] | --- **Chi-Square Test:** The final step is to calculate the chi-square test statistic for this data, also rounded to three decimal places. \[ \chi^2 = [ ] \] This example provides a basic framework for conducting a chi-square test, which compares observed frequencies to expected frequencies to assess if there is a significant relationship between the categories and populations being studied.
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