Find the P-value for a left-tailed hypothesis test with a test statistic of z= - 1.81. Decide whether to reject H, if the level of significance is a = 0.05. P-value = (Round to four decimal places as needed.) %3D

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**Hypothesis Testing: Finding the P-value**

**Problem Statement:**

Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.81 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.05 \).

**Instructions:**

- **P-value = \(\text{____}\)** (Round to four decimal places as needed.)

**Details:**

This problem involves calculating the P-value for a left-tailed hypothesis test, where the Z-score provided is -1.81. The P-value helps determine the probability of observing a test statistic as extreme as the one observed, under the assumption that the null hypothesis \( H_0 \) is true. A lower P-value suggests that the observed data is unlikely under the null hypothesis, potentially leading to its rejection. If the calculated P-value is less than the significance level \( \alpha = 0.05 \), you would reject the null hypothesis \( H_0 \).
Transcribed Image Text:**Hypothesis Testing: Finding the P-value** **Problem Statement:** Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.81 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.05 \). **Instructions:** - **P-value = \(\text{____}\)** (Round to four decimal places as needed.) **Details:** This problem involves calculating the P-value for a left-tailed hypothesis test, where the Z-score provided is -1.81. The P-value helps determine the probability of observing a test statistic as extreme as the one observed, under the assumption that the null hypothesis \( H_0 \) is true. A lower P-value suggests that the observed data is unlikely under the null hypothesis, potentially leading to its rejection. If the calculated P-value is less than the significance level \( \alpha = 0.05 \), you would reject the null hypothesis \( H_0 \).
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