A genetic experiment involving peas yielded one sample of offspring consisting of 434 green peas and 154 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. .... What are the null and alternative hypotheses? O A. Ho: p#0.27 О В. Но р+0.27 H1: p>0.27 H1: p<0.27 O C. Ho: p=0.27 H1:p>0.27 O D. Ho: p 0.27 H1:p = 0.27 OF Ho: p=0.27 H1: p< 0.27 O E. Ho p=0.27 H1: p 0.27

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What is the test statistic What is the p-value What is the conclusion about the null hypothesis What is the final conclusion
**Title: Hypothesis Testing in Genetic Experiments with Peas**

**Introduction:**
A genetic experiment involving peas resulted in a sample of offspring comprising 434 green peas and 154 yellow peas. To assess the claim that, under the same conditions, 27% of the offspring peas will be yellow, a hypothesis test is conducted using a 0.05 significance level. The task is to identify the null hypothesis, alternative hypothesis, test statistic, P-value, and draw conclusions regarding the original claim. The P-value method and the normal distribution serve as an approximation to the binomial distribution.

**Hypothesis Identification:**

**Question:**
What are the null and alternative hypotheses?

**Options:**

- **A:**
  - \( H_0: p \neq 0.27 \)
  - \( H_1: p > 0.27 \)

- **B:**
  - \( H_0: p \neq 0.27 \)
  - \( H_1: p < 0.27 \)

- **C:**
  - \( H_0: p = 0.27 \)
  - \( H_1: p > 0.27 \)

- **D:**
  - \( H_0: p \neq 0.27 \)
  - \( H_1: p = 0.27 \)

- **E:**
  - \( H_0: p = 0.27 \)
  - \( H_1: p \neq 0.27 \)

- **F:**
  - \( H_0: p = 0.27 \)
  - \( H_1: p < 0.27 \)

*Note: The selection of hypotheses will guide the statistical test to determine if there is enough evidence to support the claim regarding the proportion of yellow peas in the offspring.*
Transcribed Image Text:**Title: Hypothesis Testing in Genetic Experiments with Peas** **Introduction:** A genetic experiment involving peas resulted in a sample of offspring comprising 434 green peas and 154 yellow peas. To assess the claim that, under the same conditions, 27% of the offspring peas will be yellow, a hypothesis test is conducted using a 0.05 significance level. The task is to identify the null hypothesis, alternative hypothesis, test statistic, P-value, and draw conclusions regarding the original claim. The P-value method and the normal distribution serve as an approximation to the binomial distribution. **Hypothesis Identification:** **Question:** What are the null and alternative hypotheses? **Options:** - **A:** - \( H_0: p \neq 0.27 \) - \( H_1: p > 0.27 \) - **B:** - \( H_0: p \neq 0.27 \) - \( H_1: p < 0.27 \) - **C:** - \( H_0: p = 0.27 \) - \( H_1: p > 0.27 \) - **D:** - \( H_0: p \neq 0.27 \) - \( H_1: p = 0.27 \) - **E:** - \( H_0: p = 0.27 \) - \( H_1: p \neq 0.27 \) - **F:** - \( H_0: p = 0.27 \) - \( H_1: p < 0.27 \) *Note: The selection of hypotheses will guide the statistical test to determine if there is enough evidence to support the claim regarding the proportion of yellow peas in the offspring.*
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