In a certain variety of tomatoes, for one gene, the allele for purple (A) is completely dominant to the allele for red (a) color. For another independent gene, the allele for bursting (B) is completely dominant to the allele for remaining intact (b) when ripe. A plant of genotype Aa Bb is crossed with a plant of genotype AA Bb. The progeny resulted in the following numbers of observed phenotypes: 60 purple, intact
In a certain variety of tomatoes, for one gene, the allele for purple (A) is completely dominant to the allele for red (a) color. For another independent gene, the allele for bursting (B) is completely dominant to the allele for remaining intact (b) when ripe. A plant of genotype Aa Bb is crossed with a plant of genotype AA Bb. The progeny resulted in the following numbers of observed phenotypes: 60 purple, intact
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Topic Video
Question
![### Genetic Analysis of Tomato Phenotypes
In a certain variety of tomatoes, for one gene, the allele for purple (A) is completely dominant to the allele for red (a) color. For another independent gene, the allele for bursting (B) is completely dominant to the allele for remaining intact (b) when ripe. A plant of genotype **Aa Bb** is crossed with a plant of genotype **AA Bb**. The progeny resulted in the following numbers of observed phenotypes:
- **60** purple, intact
- **240** purple, bursting
### Instructions for Chi-square Test
Based on the expectations for this particular cross, perform a \(\chi^2\) test on your scratch sheet and refer to the provided chi-square table of probabilities to answer the following questions:
#### Blank #1: Provide the overall chi square value.
#### Blank #2: Provide the probability range for the above chi square value.
#### Blank #3: In no more than three sentences, concisely state an appropriate conclusion using the terms **significant** or **not significant**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51766312-77d6-4388-ba53-71601d5219eb%2F70819f6f-6dda-469f-9e58-91fd0e6d529a%2F6nsdzag_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Genetic Analysis of Tomato Phenotypes
In a certain variety of tomatoes, for one gene, the allele for purple (A) is completely dominant to the allele for red (a) color. For another independent gene, the allele for bursting (B) is completely dominant to the allele for remaining intact (b) when ripe. A plant of genotype **Aa Bb** is crossed with a plant of genotype **AA Bb**. The progeny resulted in the following numbers of observed phenotypes:
- **60** purple, intact
- **240** purple, bursting
### Instructions for Chi-square Test
Based on the expectations for this particular cross, perform a \(\chi^2\) test on your scratch sheet and refer to the provided chi-square table of probabilities to answer the following questions:
#### Blank #1: Provide the overall chi square value.
#### Blank #2: Provide the probability range for the above chi square value.
#### Blank #3: In no more than three sentences, concisely state an appropriate conclusion using the terms **significant** or **not significant**.
![**Chi-Square (χ²) Table of Probabilities**
This table provides the critical values for the Chi-Square (χ²) distribution for different degrees of freedom (Df) and probabilities. The Chi-Square distribution is widely used in hypothesis testing, particularly in tests of independence and goodness-of-fit.
The table is arranged in the following manner:
| Df | 0.95 | 0.90 | 0.80 | 0.70 | 0.50 | 0.30 | 0.20 | 0.10 | 0.05 | 0.01 | 0.001|
|:---:|:-----:|:----:|:-----:|:-----:|:----:|:----:|:----:|:----:|:----:|:----:|:----:|
| 1 | 0.004 | 0.022 | 0.06 | 0.15 | 0.46 | 1.07 | 1.64 | 2.71 | 3.84 | 6.64 | 10.83 |
| 2 | 0.10 | 0.21 | 0.45 | 0.71 | 1.39 | 2.41 | 3.22 | 4.60 | 5.99 | 9.21 | 13.82 |
| 3 | 0.35 | 0.58 | 1.01 | 1.42 | 2.37 | 3.66 | 4.64 | 6.25 | 7.82 | 11.34| 16.27 |
| 4 | 0.71 | 1.06 | 1.65 | 2.20 | 3.36 | 4.88 | 5.99 | 7.78 | 9.49 | 13.28| 18.47 |
| 5 | 1.14 | 1.61 | 2.34 | 3.00 | 4.35 | 6.06 | 7.29 | 9.24 | 11.07| 15.09| 20.52](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51766312-77d6-4388-ba53-71601d5219eb%2F70819f6f-6dda-469f-9e58-91fd0e6d529a%2Fg4mjnv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chi-Square (χ²) Table of Probabilities**
This table provides the critical values for the Chi-Square (χ²) distribution for different degrees of freedom (Df) and probabilities. The Chi-Square distribution is widely used in hypothesis testing, particularly in tests of independence and goodness-of-fit.
The table is arranged in the following manner:
| Df | 0.95 | 0.90 | 0.80 | 0.70 | 0.50 | 0.30 | 0.20 | 0.10 | 0.05 | 0.01 | 0.001|
|:---:|:-----:|:----:|:-----:|:-----:|:----:|:----:|:----:|:----:|:----:|:----:|:----:|
| 1 | 0.004 | 0.022 | 0.06 | 0.15 | 0.46 | 1.07 | 1.64 | 2.71 | 3.84 | 6.64 | 10.83 |
| 2 | 0.10 | 0.21 | 0.45 | 0.71 | 1.39 | 2.41 | 3.22 | 4.60 | 5.99 | 9.21 | 13.82 |
| 3 | 0.35 | 0.58 | 1.01 | 1.42 | 2.37 | 3.66 | 4.64 | 6.25 | 7.82 | 11.34| 16.27 |
| 4 | 0.71 | 1.06 | 1.65 | 2.20 | 3.36 | 4.88 | 5.99 | 7.78 | 9.49 | 13.28| 18.47 |
| 5 | 1.14 | 1.61 | 2.34 | 3.00 | 4.35 | 6.06 | 7.29 | 9.24 | 11.07| 15.09| 20.52
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)