Consider the hypothesis test below. The following results are for independent samples taken from the two populations. Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? - Select your answer - Ho: P1-P2 ≤0 Ha: P1 P2 > 0 Sample 1 n₁ = 100 P₁ = 0.29 Sample 2 n₂ = 300 P2 = 0.13

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### Hypothesis Testing Guide

**Consider the hypothesis test below.**

\[
H_0: p_1 - p_2 \leq 0
\]

\[
H_a: p_1 - p_2 > 0
\]

The following results are for independent samples taken from the two populations.

#### Sample Information

- **Sample 1**
  - \( n_1 = 100 \)
  - \( \bar{p}_1 = 0.29 \)

- **Sample 2**
  - \( n_2 = 300 \)
  - \( \bar{p}_2 = 0.13 \)

**Use pooled estimator of \( p \).**

---

### Questions

**a. What is the p-value (to 4 decimals)?** Use Table 1 from [Appendix B](#).

**b. With \( \alpha = 0.05 \), what is your hypothesis testing conclusion?**

- [ ] **Select your answer** (dropdown menu with options to conclude)

---

This exercise involves performing a hypothesis test with unequal population proportions using the pooled estimator method. You will calculate the p-value and discuss your conclusion based on a significance level of 0.05.
Transcribed Image Text:### Hypothesis Testing Guide **Consider the hypothesis test below.** \[ H_0: p_1 - p_2 \leq 0 \] \[ H_a: p_1 - p_2 > 0 \] The following results are for independent samples taken from the two populations. #### Sample Information - **Sample 1** - \( n_1 = 100 \) - \( \bar{p}_1 = 0.29 \) - **Sample 2** - \( n_2 = 300 \) - \( \bar{p}_2 = 0.13 \) **Use pooled estimator of \( p \).** --- ### Questions **a. What is the p-value (to 4 decimals)?** Use Table 1 from [Appendix B](#). **b. With \( \alpha = 0.05 \), what is your hypothesis testing conclusion?** - [ ] **Select your answer** (dropdown menu with options to conclude) --- This exercise involves performing a hypothesis test with unequal population proportions using the pooled estimator method. You will calculate the p-value and discuss your conclusion based on a significance level of 0.05.
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