Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.4 versus H₁: p > 0.4 n=125; x = 55; x = 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table Calculate the test statistic, Zo Zo = 0.91 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.)

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# Standard Normal Distribution Table for Negative z

The table below represents the Standard Normal Distribution for negative z-values. This table is vital for finding probabilities and percentiles for standardized normal distributions where z is less than zero.

## Table Explanation

The leftmost column represents the z-value up to one decimal place. The topmost row shows the hundredths place of the z-value. Each cell in the table provides the cumulative probability from the mean (0) to the specified negative z-value.

### Example of How to Use the Table

To find the cumulative probability for z = -1.25:
1. Look down the leftmost column to -1.2.
2. Move across the row to the column labeled .05.
3. The value at the intersection is 0.1056.

## Table Data

| z   | .00   | .01   | .02   | .03   | .04   | .05   | .06   | .07   | .08   | .09   |
|-----|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| -4.0 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0002 | 0.0002 | 0.0002 | 0.0002 | 0.0002 |
| -3.9 | 0.0005 | 0.0005 | 0.0005 | 0.0004 | 0.0004 | 0.0004 | 0.0004 | 0.0003 | 0.0003 | 0.0003 |
| -3.8 | 0.0008 | 0.0007 | 0.0007 | 0.0006 | 0.0006 | 0.0006 | 0.0005 | 0.0005 | 0.0005 | 0.0004 |
| -3.7 | 0.0012 | 0.0011 | 0.0011 | 0.0010 | 0.0010 | 0.0009 | 0.0009 | 0.0008 | 0.0008 | 0.0007 |
| -3.6
Transcribed Image Text:# Standard Normal Distribution Table for Negative z The table below represents the Standard Normal Distribution for negative z-values. This table is vital for finding probabilities and percentiles for standardized normal distributions where z is less than zero. ## Table Explanation The leftmost column represents the z-value up to one decimal place. The topmost row shows the hundredths place of the z-value. Each cell in the table provides the cumulative probability from the mean (0) to the specified negative z-value. ### Example of How to Use the Table To find the cumulative probability for z = -1.25: 1. Look down the leftmost column to -1.2. 2. Move across the row to the column labeled .05. 3. The value at the intersection is 0.1056. ## Table Data | z | .00 | .01 | .02 | .03 | .04 | .05 | .06 | .07 | .08 | .09 | |-----|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------| | -4.0 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0002 | 0.0002 | 0.0002 | 0.0002 | 0.0002 | | -3.9 | 0.0005 | 0.0005 | 0.0005 | 0.0004 | 0.0004 | 0.0004 | 0.0004 | 0.0003 | 0.0003 | 0.0003 | | -3.8 | 0.0008 | 0.0007 | 0.0007 | 0.0006 | 0.0006 | 0.0006 | 0.0005 | 0.0005 | 0.0005 | 0.0004 | | -3.7 | 0.0012 | 0.0011 | 0.0011 | 0.0010 | 0.0010 | 0.0009 | 0.0009 | 0.0008 | 0.0008 | 0.0007 | | -3.6
**Hypothesis Testing Using the P-value Approach**

To conduct this test, please ensure all requirements for the hypothesis test are met.

- **Null Hypothesis (H₀):** p = 0.4
- **Alternative Hypothesis (H₁):** p > 0.4

Parameters:
- **Sample size (n):** 125
- **Number of successes (x):** 55
- **Significance Level (α):** 0.05

For additional data, you may refer to:
- [Page 1 of the table](#)
- [Page 2 of the table](#)

---

**Calculate the Test Statistic, z₀:**

- **Calculated z₀:** 0.91  
  (Ensure to round to two decimal places as required.)

---

**Identify the P-value:**

- **P-value:** [Input Needed]  
  (Ensure to round to three decimal places as required.)
Transcribed Image Text:**Hypothesis Testing Using the P-value Approach** To conduct this test, please ensure all requirements for the hypothesis test are met. - **Null Hypothesis (H₀):** p = 0.4 - **Alternative Hypothesis (H₁):** p > 0.4 Parameters: - **Sample size (n):** 125 - **Number of successes (x):** 55 - **Significance Level (α):** 0.05 For additional data, you may refer to: - [Page 1 of the table](#) - [Page 2 of the table](#) --- **Calculate the Test Statistic, z₀:** - **Calculated z₀:** 0.91 (Ensure to round to two decimal places as required.) --- **Identify the P-value:** - **P-value:** [Input Needed] (Ensure to round to three decimal places as required.)
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