Testing: Ho:p = = 0.43 H1:p > 0.43 Your sample consists of 105 subjects, with 49 successes. Calculate the test statistic, rounded to 2 decimal places

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**Hypothesis Testing Problem Statement:**

**Testing:**

Null Hypothesis (H₀): \( p = 0.43 \)

Alternative Hypothesis (H₁): \( p > 0.43 \)

**Problem Context:**

You have a sample consisting of 105 subjects, with 49 successes. The task is to calculate the test statistic, rounded to two decimal places.

**Calculate the Test Statistic:**

\[ z = \text{(Your answer goes here)} \]

Utilize this information to determine the appropriate statistical outcome using the formula for the test statistic in hypothesis testing for a proportion:

\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1-p_0)}{n}}} \]

Where:
- \( \hat{p} \) is the sample proportion of successes (49/105).
- \( p_0 \) is the hypothesized population proportion (0.43).
- \( n \) is the sample size (105).
Transcribed Image Text:**Hypothesis Testing Problem Statement:** **Testing:** Null Hypothesis (H₀): \( p = 0.43 \) Alternative Hypothesis (H₁): \( p > 0.43 \) **Problem Context:** You have a sample consisting of 105 subjects, with 49 successes. The task is to calculate the test statistic, rounded to two decimal places. **Calculate the Test Statistic:** \[ z = \text{(Your answer goes here)} \] Utilize this information to determine the appropriate statistical outcome using the formula for the test statistic in hypothesis testing for a proportion: \[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1-p_0)}{n}}} \] Where: - \( \hat{p} \) is the sample proportion of successes (49/105). - \( p_0 \) is the hypothesized population proportion (0.43). - \( n \) is the sample size (105).
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