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

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### 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**.
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
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
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