A researcher is going to perform a right-tailed hypothesis test. The test statistic will follow a standard normal distribution. Answer parts (a) and (b) below. You may use the tool below in the scratch work area to help you. Your work with the tool will not be (a) The researcher might choose 0.01, 0.05, or 0.10 (b) After choosing the level of significance, the for the level of significance for the right-tailed test. For each potential choice for the level of significance, find the critical value. Round your answers to three decimal places. researcher takes a sample and finds that the value of the test statistic is z = 1.549. For which of the levels of significance would the null hypothesis not be rejected? Choose all that apply. Critical value at a = 0.01: Critical value at a=0.05: Critical value at a=0.10: Scratch work (Not graded) Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the critial value(s). (Round to 3 decimal places.) Explanation Check a=0.01 a=0.05 a=0.10 None of the above 2022 McGraw Hil All Rights Reserved Terms of Use

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**Scratch Work (Not Graded)**

**Standard Normal Distribution**

1. **Step 1:** Select one-tailed or two-tailed.
   - ○ One-tailed
   - ○ Two-tailed

2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.)
   - [Input Box]

3. **Step 3:** Enter the test statistic. (Round to 3 decimal places.)
   - [Input Box]

**Graph Explanation:**

The image includes a bell-shaped curve representing the standard normal distribution. The x-axis ranges from -3 to 3, and the y-axis is labeled with values such as 0.1, 0.2, 0.3, and 0.4. This symmetric curve is centered at zero, showing typical probability distribution in standard normal terms.

Buttons at the bottom:
- **Explanation**
- **Check**

In the upper right corner, there are buttons to close or reset the section.
Transcribed Image Text:**Scratch Work (Not Graded)** **Standard Normal Distribution** 1. **Step 1:** Select one-tailed or two-tailed. - ○ One-tailed - ○ Two-tailed 2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.) - [Input Box] 3. **Step 3:** Enter the test statistic. (Round to 3 decimal places.) - [Input Box] **Graph Explanation:** The image includes a bell-shaped curve representing the standard normal distribution. The x-axis ranges from -3 to 3, and the y-axis is labeled with values such as 0.1, 0.2, 0.3, and 0.4. This symmetric curve is centered at zero, showing typical probability distribution in standard normal terms. Buttons at the bottom: - **Explanation** - **Check** In the upper right corner, there are buttons to close or reset the section.
### Hypothesis Testing with Standard Normal Distribution

A researcher is conducting a **right-tailed hypothesis test**. The **test statistic** follows a **standard normal distribution**.

### Task
Answer parts (a) and (b) below using the provided scratch work tool. Your work in this area will not be graded.

### Part (a)
The researcher may choose a significance level (\(\alpha\)) of 0.01, 0.05, or 0.10 for the right-tailed test. For each potential level, find the critical value. Round your answers to three decimal places.

- **Critical value at \(\alpha = 0.01\):** [ ]
- **Critical value at \(\alpha = 0.05\):** [ ]
- **Critical value at \(\alpha = 0.10\):** [ ]

### Part (b)
After selecting a significance level, the researcher takes a sample and finds that the test statistic is \(z = 1.549\). For which levels of significance would the null hypothesis **not** be rejected? Choose all that apply:

- \(\alpha = 0.01\)
- \(\alpha = 0.05\)
- \(\alpha = 0.10\)
- None of the above

### Scratch Work (Not graded)

**Standard Normal Distribution**

1. **Step 1:** Select one-tailed or two-tailed.
   - One-tailed
   - Two-tailed

2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.)

**Graph Explanation:**
A standard normal distribution curve is displayed, indicating a symmetric bell-shaped curve centered at zero. It is implied that critical values will correspond to areas under this curve beyond a given \(z\) value, according to the selected significance level for the right tail.
Transcribed Image Text:### Hypothesis Testing with Standard Normal Distribution A researcher is conducting a **right-tailed hypothesis test**. The **test statistic** follows a **standard normal distribution**. ### Task Answer parts (a) and (b) below using the provided scratch work tool. Your work in this area will not be graded. ### Part (a) The researcher may choose a significance level (\(\alpha\)) of 0.01, 0.05, or 0.10 for the right-tailed test. For each potential level, find the critical value. Round your answers to three decimal places. - **Critical value at \(\alpha = 0.01\):** [ ] - **Critical value at \(\alpha = 0.05\):** [ ] - **Critical value at \(\alpha = 0.10\):** [ ] ### Part (b) After selecting a significance level, the researcher takes a sample and finds that the test statistic is \(z = 1.549\). For which levels of significance would the null hypothesis **not** be rejected? Choose all that apply: - \(\alpha = 0.01\) - \(\alpha = 0.05\) - \(\alpha = 0.10\) - None of the above ### Scratch Work (Not graded) **Standard Normal Distribution** 1. **Step 1:** Select one-tailed or two-tailed. - One-tailed - Two-tailed 2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.) **Graph Explanation:** A standard normal distribution curve is displayed, indicating a symmetric bell-shaped curve centered at zero. It is implied that critical values will correspond to areas under this curve beyond a given \(z\) value, according to the selected significance level for the right tail.
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