There are two alleles for the arr gene, A and a. There are also two alleles for bee gene, B and b. The two genes are on a chromosome that is 1.5 micrometers in length, but it has yet to be determined if the two genes are linked. Below is data from a study to determine if the genes are linked, and if so, how far apart the genes are on the chromosome.

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Question 9: FOR THIS QUESTION, EXCEL *MUST* BE USED TO CALCULATE THE P-VALUE FOR CHI SQUARED!

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### Gene Linkage Analysis: arr and bee Genes

**Background Information:**
- There are two alleles for the *arr* gene: A and a.
- There are two alleles for the *bee* gene: B and b.
- These genes are located on a chromosome that is 1.5 micrometers in length.
- The objective is to determine if these two genes are linked.

**Experiment Overview:**
- An organism heterozygous for both the *arr* and *bee* genes is crossed with an organism homozygous recessive for both genes.
- By analyzing the offspring, we can determine if the genes are linked.

**Hypotheses:**
1. The *arr* and *bee* genes are independent of each other.
2. The *arr* and *bee* genes are linked.

**Question:**
- Which of these hypotheses is the null hypothesis? (Enter 1 or 2 in the answer box)

**Observed Genotypic Abundances of the Offspring:**

| Genotype | Abundance |
|----------|-----------|
| Aa Bb    | 47        |
| Aa bb    | 23        |
| aa Bb    | 31        |
| aa bb    | 39        |

**Instructions:**
- Use the predicted and observed data to perform a chi-squared test to assess if the two genes *arr* and *bee* are linked.
- Consult the video below for guidance on performing calculations in Excel.
Transcribed Image Text:### Gene Linkage Analysis: arr and bee Genes **Background Information:** - There are two alleles for the *arr* gene: A and a. - There are two alleles for the *bee* gene: B and b. - These genes are located on a chromosome that is 1.5 micrometers in length. - The objective is to determine if these two genes are linked. **Experiment Overview:** - An organism heterozygous for both the *arr* and *bee* genes is crossed with an organism homozygous recessive for both genes. - By analyzing the offspring, we can determine if the genes are linked. **Hypotheses:** 1. The *arr* and *bee* genes are independent of each other. 2. The *arr* and *bee* genes are linked. **Question:** - Which of these hypotheses is the null hypothesis? (Enter 1 or 2 in the answer box) **Observed Genotypic Abundances of the Offspring:** | Genotype | Abundance | |----------|-----------| | Aa Bb | 47 | | Aa bb | 23 | | aa Bb | 31 | | aa bb | 39 | **Instructions:** - Use the predicted and observed data to perform a chi-squared test to assess if the two genes *arr* and *bee* are linked. - Consult the video below for guidance on performing calculations in Excel.
**Chi-Squared Analysis and P-Value Calculation**

1. **Calculated Value of Chi-Squared:**
   - Determine your calculated value of chi-squared and enter it in the designated box.
   - **Note:** Report your answer to **four decimal places**.
   - **Important:** Further calculations should be performed in Excel on the unrounded number.

2. **Calculation of P-Value:**
   - Use the formula `=(1-chisq.dist(x, df, TRUE))` in Excel, where:
     - **x** is the calculated value of chi squared,
     - **df** is the degrees of freedom,
     - **TRUE** signifies a cumulative distribution function.
   - Enter the P-value in the provided box.
   - **Note:** Report your answer to **four decimal places**.

3. **Hypothesis Testing:**
   - Using an alpha value of **0.05**, determine whether you "fail to reject" or "reject" the null hypothesis.
   - Enter your decision in the box.

4. **Gene Linkage Analysis:**
   - If genes are linked, determine the distance in micrometers based on the percentage of offspring experiencing crossing over.
   - If genes are not linked, enter "n/a" in the box below.
   - Report your answer:
     - In micrometers,
     - To four decimal places,
     - Or enter "n/a" if not linked.
Transcribed Image Text:**Chi-Squared Analysis and P-Value Calculation** 1. **Calculated Value of Chi-Squared:** - Determine your calculated value of chi-squared and enter it in the designated box. - **Note:** Report your answer to **four decimal places**. - **Important:** Further calculations should be performed in Excel on the unrounded number. 2. **Calculation of P-Value:** - Use the formula `=(1-chisq.dist(x, df, TRUE))` in Excel, where: - **x** is the calculated value of chi squared, - **df** is the degrees of freedom, - **TRUE** signifies a cumulative distribution function. - Enter the P-value in the provided box. - **Note:** Report your answer to **four decimal places**. 3. **Hypothesis Testing:** - Using an alpha value of **0.05**, determine whether you "fail to reject" or "reject" the null hypothesis. - Enter your decision in the box. 4. **Gene Linkage Analysis:** - If genes are linked, determine the distance in micrometers based on the percentage of offspring experiencing crossing over. - If genes are not linked, enter "n/a" in the box below. - Report your answer: - In micrometers, - To four decimal places, - Or enter "n/a" if not linked.
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