Understanding how the A researcher is going to perform a two-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 graded. (a) The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places. Critical values at a = 0.01: Critical values at a = 0.05: Critical values 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 critical value(s). (Round to 3 decimal places.) Explanation Check and and and 0 (b) After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is z=-1.727. For which of the levels of significance would the null hypothesis be rejected? Choose all that apply. α=0.01 a=0.05 a=0.10 None of the above X 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessi
Understanding how the A researcher is going to perform a two-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 graded. (a) The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places. Critical values at a = 0.01: Critical values at a = 0.05: Critical values 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 critical value(s). (Round to 3 decimal places.) Explanation Check and and and 0 (b) After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is z=-1.727. For which of the levels of significance would the null hypothesis be rejected? Choose all that apply. α=0.01 a=0.05 a=0.10 None of the above X 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessi
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Understanding How the Choice of a Level of Significance Affects Hypothesis Testing
A researcher is going to perform a **two-tailed hypothesis test**. The test statistic will follow a **standard normal distribution**.
### Task Overview
**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 graded.
#### (a) Determining Critical Values
The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places.
- Critical values at \( \alpha = 0.01 \): [_____] and [_____]
- Critical values at \( \alpha = 0.05 \): [_____] and [_____]
- Critical values at \( \alpha = 0.10 \): [_____] and [_____]
#### (b) Decision Making with Test Statistics
After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is \( z = -1.727 \). For which of the levels of significance would the null hypothesis 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**
**Step 1:** Select one-tailed or two-tailed.
- [ ] One-tailed
- [ ] Two-tailed
**Step 2:** Enter the critical value(s).
- (Round to 3 decimal places.)
---
#### Graph Interpretation
A basic graph of a standard normal distribution is displayed, highlighting the relevance of critical values. It includes the central peak, indicating the mean of 0, and tails extending to both sides, representing data distribution either side of the mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5da94fe-19e7-4c6f-a636-47d7a1fa1ee8%2F6ca56253-10a2-41a2-930e-83560b74f891%2Fz8ndlkm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding How the Choice of a Level of Significance Affects Hypothesis Testing
A researcher is going to perform a **two-tailed hypothesis test**. The test statistic will follow a **standard normal distribution**.
### Task Overview
**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 graded.
#### (a) Determining Critical Values
The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places.
- Critical values at \( \alpha = 0.01 \): [_____] and [_____]
- Critical values at \( \alpha = 0.05 \): [_____] and [_____]
- Critical values at \( \alpha = 0.10 \): [_____] and [_____]
#### (b) Decision Making with Test Statistics
After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is \( z = -1.727 \). For which of the levels of significance would the null hypothesis 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**
**Step 1:** Select one-tailed or two-tailed.
- [ ] One-tailed
- [ ] Two-tailed
**Step 2:** Enter the critical value(s).
- (Round to 3 decimal places.)
---
#### Graph Interpretation
A basic graph of a standard normal distribution is displayed, highlighting the relevance of critical values. It includes the central peak, indicating the mean of 0, and tails extending to both sides, representing data distribution either side of the mean.
Transcribed Image Text:**Standard Normal Distribution**
This section outlines the steps for working with a standard normal distribution.
1. **Step 1**: Select one-tailed or two-tailed test.
- Options:
- One-tailed
- Two-tailed
2. **Step 2**: Enter the critical value(s).
- Instructions: Round to 3 decimal places.
3. **Step 3**: Enter the test statistic.
- Instructions: Round to 3 decimal places.
**Graph Explanation**
The graph displayed is a standard normal distribution curve, also known as a bell-shaped curve. It is symmetric around the mean and represents the distribution of a dataset where most values cluster around the central peak and probabilities for values taper off equally in both directions from the mean.
- The x-axis represents the z-scores, typically ranging from -3 to 3.
- The y-axis displays the probability density.
**Additional Options**
- Buttons for explanation and checking calculations are available at the bottom of the interface.
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