The test statistic of z 2.24 is obtained when testing the claim that p> 0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H, or should we fail to reject Ho?

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### Hypothesis Testing with a Test Statistic

In this lesson, we explore the process of hypothesis testing using a test statistic.

**Scenario:**
The test statistic of \( z = 2.24 \) is obtained when testing the claim that \( p > 0.5 \).

**Tasks:**
a. **Hypothesis Test Type:** Determine whether the hypothesis test is two-tailed, left-tailed, or right-tailed.

b. **P-Value:** Find the P-value associated with the test statistic.

c. **Decision Making:** Using a significance level of \( \alpha = 0.05 \), decide whether to reject the null hypothesis \( H_0 \) or fail to reject \( H_0 \).

**Additional Resources:**
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)

**Question:**
a. This is a [Select option] test (the options might include two-tailed, left-tailed, right-tailed).

### How to Proceed:
1. **Determine the Tail Type:**
   - Since the claim is that \( p > 0.5 \), this implies a right-tailed test.

2. **Calculate the P-Value:**
   - Use the standard normal distribution table to find the P-value corresponding to \( z = 2.24 \).

3. **Decision Rule:**
   - Compare the P-value to \( \alpha = 0.05 \).
   - If the P-value is less than \( \alpha \), reject \( H_0 \).
   - Otherwise, fail to reject \( H_0 \).
Transcribed Image Text:### Hypothesis Testing with a Test Statistic In this lesson, we explore the process of hypothesis testing using a test statistic. **Scenario:** The test statistic of \( z = 2.24 \) is obtained when testing the claim that \( p > 0.5 \). **Tasks:** a. **Hypothesis Test Type:** Determine whether the hypothesis test is two-tailed, left-tailed, or right-tailed. b. **P-Value:** Find the P-value associated with the test statistic. c. **Decision Making:** Using a significance level of \( \alpha = 0.05 \), decide whether to reject the null hypothesis \( H_0 \) or fail to reject \( H_0 \). **Additional Resources:** - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) **Question:** a. This is a [Select option] test (the options might include two-tailed, left-tailed, right-tailed). ### How to Proceed: 1. **Determine the Tail Type:** - Since the claim is that \( p > 0.5 \), this implies a right-tailed test. 2. **Calculate the P-Value:** - Use the standard normal distribution table to find the P-value corresponding to \( z = 2.24 \). 3. **Decision Rule:** - Compare the P-value to \( \alpha = 0.05 \). - If the P-value is less than \( \alpha \), reject \( H_0 \). - Otherwise, fail to reject \( H_0 \).
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