Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Question
The following results were obtained from a dihybrid cross between two pea plants:
315 plants with round seeds and yellow flowers
101 plants with wrinkled seeds and yellow flowers
108 plants with round seeds and white flowers
32 plants with wrinkled seeds and white flowers
Assume that round seeds and yellow flowers are dominant and both parent plants were heterozygous for both traits.
![### How to Calculate Chi-Square (\( \chi^2 \)) Using the Given Data
Use the table below to calculate \( \chi^2 \) for these data:
| Phenotype | O | E | (O-E) | (O-E)² | (O-E)²/E |
| --------------------------------- |---|---|-------|--------|----------|
| Round seeds yellow flowers | | | | | |
| Round seeds white flowers | | | | | |
| Wrinkled seeds yellow flowers | | | | | |
| Wrinkled seeds white flowers | | | | | |
| **Totals** | | | | | **sum(Σ)**|
- **O**: Observed frequency.
- **E**: Expected frequency.
- **(O-E)**: Difference between observed and expected frequencies.
- **(O-E)²**: Square of the difference.
- **(O-E)²/E**: The squared difference divided by the expected frequency.
### Calculation Explanation
**Step 1: Observed and Expected Frequencies**
Fill in the observed (\( O \)) and expected (\( E \)) frequencies in the table for each phenotype.
**Step 2: Calculating Difference (O-E)**
Subtract each expected frequency from the corresponding observed frequency to find \( (O-E) \).
**Step 3: Squaring the Difference (O-E)²**
Square the \( (O-E) \) values obtained for each phenotype.
**Step 4: Calculating (O-E)²/E**
Divide the squared differences by the expected frequencies.
**Step 5: Sum of (O-E)²/E**
Sum all the \( (O-E)²/E \) values to obtain \( \sum(\Sigma) \).
**Step 6: Chi-Square (\( \chi^2 \)) Value**
The Chi-Square (\( \chi^2 \)) value is equal to \( \sum(\Sigma) \).
### Your Calculation
```plaintext
X² = sum(Σ) = [Your calculated value]
Your Answer: __________________ [Input your answer here]
```
This completes the chi-square calculation process. Make sure to double-check your calculations!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ed6d0cf-0acf-416c-b6dc-26bfa2b7838d%2Fee500f63-50f0-4300-a8d5-990e5c0e1d12%2Ffg64tx_processed.png&w=3840&q=75)
Transcribed Image Text:### How to Calculate Chi-Square (\( \chi^2 \)) Using the Given Data
Use the table below to calculate \( \chi^2 \) for these data:
| Phenotype | O | E | (O-E) | (O-E)² | (O-E)²/E |
| --------------------------------- |---|---|-------|--------|----------|
| Round seeds yellow flowers | | | | | |
| Round seeds white flowers | | | | | |
| Wrinkled seeds yellow flowers | | | | | |
| Wrinkled seeds white flowers | | | | | |
| **Totals** | | | | | **sum(Σ)**|
- **O**: Observed frequency.
- **E**: Expected frequency.
- **(O-E)**: Difference between observed and expected frequencies.
- **(O-E)²**: Square of the difference.
- **(O-E)²/E**: The squared difference divided by the expected frequency.
### Calculation Explanation
**Step 1: Observed and Expected Frequencies**
Fill in the observed (\( O \)) and expected (\( E \)) frequencies in the table for each phenotype.
**Step 2: Calculating Difference (O-E)**
Subtract each expected frequency from the corresponding observed frequency to find \( (O-E) \).
**Step 3: Squaring the Difference (O-E)²**
Square the \( (O-E) \) values obtained for each phenotype.
**Step 4: Calculating (O-E)²/E**
Divide the squared differences by the expected frequencies.
**Step 5: Sum of (O-E)²/E**
Sum all the \( (O-E)²/E \) values to obtain \( \sum(\Sigma) \).
**Step 6: Chi-Square (\( \chi^2 \)) Value**
The Chi-Square (\( \chi^2 \)) value is equal to \( \sum(\Sigma) \).
### Your Calculation
```plaintext
X² = sum(Σ) = [Your calculated value]
Your Answer: __________________ [Input your answer here]
```
This completes the chi-square calculation process. Make sure to double-check your calculations!
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