## Hypothesis Testing Example ### Given: The test statistic of \( z = 1.04 \) is obtained when testing the claim that \( p \neq 0.175 \). ### Tasks: 1. **Identify the Type of Hypothesis Test**: - a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. 2. **Find the P-Value**: - b. Find the P-value. 3. **Make a Decision**: - c. Using a significance level of \( \alpha = 0.05 \), should we reject \( H_0 \) or should we fail to reject \( H_0 \)? ### Steps: #### a. Identify the Hypothesis Test: This is a **two-tailed** test because the claim is \( p \neq 0.175 \), meaning we are checking for deviation in both directions (greater than or less than 0.175). #### b. Find the P-Value: To find the P-value, we need to reference the standard normal distribution table using our test statistic \( z = 1.04 \). #### c. Make a Decision: With \( \alpha = 0.05 \), the critical values for a two-tailed test are \(\pm 1.96\). - If the P-value is less than \( \alpha \), we will reject \( H_0 \). - If the P-value is greater than or equal to \( \alpha \), we fail to reject \( H_0 \). To find the exact P-value, one would typically look up \( z = 1.04 \) in the standard normal distribution table or use a calculator/ software that provides this functionality. ### Useful Links: - [Click here to view Page 1 of the standard normal distribution table](#) - [Click here to view Page 2 of the standard normal distribution table](#) ### Input: a. This is a [dropdown selection] test. ### Reminder: - Click to select your answer(s) and then click Check Answer. - Remaining parts to complete: 2 This activity helps you understand the process and thought framework involved in hypothesis testing, particularly in the context of standard normal distribution.
## Hypothesis Testing Example ### Given: The test statistic of \( z = 1.04 \) is obtained when testing the claim that \( p \neq 0.175 \). ### Tasks: 1. **Identify the Type of Hypothesis Test**: - a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. 2. **Find the P-Value**: - b. Find the P-value. 3. **Make a Decision**: - c. Using a significance level of \( \alpha = 0.05 \), should we reject \( H_0 \) or should we fail to reject \( H_0 \)? ### Steps: #### a. Identify the Hypothesis Test: This is a **two-tailed** test because the claim is \( p \neq 0.175 \), meaning we are checking for deviation in both directions (greater than or less than 0.175). #### b. Find the P-Value: To find the P-value, we need to reference the standard normal distribution table using our test statistic \( z = 1.04 \). #### c. Make a Decision: With \( \alpha = 0.05 \), the critical values for a two-tailed test are \(\pm 1.96\). - If the P-value is less than \( \alpha \), we will reject \( H_0 \). - If the P-value is greater than or equal to \( \alpha \), we fail to reject \( H_0 \). To find the exact P-value, one would typically look up \( z = 1.04 \) in the standard normal distribution table or use a calculator/ software that provides this functionality. ### Useful Links: - [Click here to view Page 1 of the standard normal distribution table](#) - [Click here to view Page 2 of the standard normal distribution table](#) ### Input: a. This is a [dropdown selection] test. ### Reminder: - Click to select your answer(s) and then click Check Answer. - Remaining parts to complete: 2 This activity helps you understand the process and thought framework involved in hypothesis testing, particularly in the context of standard normal distribution.
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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Question
- [Click here to view Page 2 of the standard normal distribution table](#)
### Input:
a. This is a [dropdown selection] test.
### Reminder:
- Click to select your answer(s) and then click Check Answer.
- Remaining parts to complete: 2
This activity helps you understand the process and thought framework involved in hypothesis testing, particularly in the context of standard normal distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4329428e-634a-426f-87a7-743e1da6a5be%2F625de6e1-dffc-48de-9fea-8b5f4889c6a7%2Fu97a6k.jpeg&w=3840&q=75)
Transcribed Image Text:## Hypothesis Testing Example
### Given:
The test statistic of \( z = 1.04 \) is obtained when testing the claim that \( p \neq 0.175 \).
### Tasks:
1. **Identify the Type of Hypothesis Test**:
- a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
2. **Find the P-Value**:
- b. Find the P-value.
3. **Make a Decision**:
- c. Using a significance level of \( \alpha = 0.05 \), should we reject \( H_0 \) or should we fail to reject \( H_0 \)?
### Steps:
#### a. Identify the Hypothesis Test:
This is a **two-tailed** test because the claim is \( p \neq 0.175 \), meaning we are checking for deviation in both directions (greater than or less than 0.175).
#### b. Find the P-Value:
To find the P-value, we need to reference the standard normal distribution table using our test statistic \( z = 1.04 \).
#### c. Make a Decision:
With \( \alpha = 0.05 \), the critical values for a two-tailed test are \(\pm 1.96\).
- If the P-value is less than \( \alpha \), we will reject \( H_0 \).
- If the P-value is greater than or equal to \( \alpha \), we fail to reject \( H_0 \).
To find the exact P-value, one would typically look up \( z = 1.04 \) in the standard normal distribution table or use a calculator/ software that provides this functionality.
### Useful Links:
- [Click here to view Page 1 of the standard normal distribution table](#)
- [Click here to view Page 2 of the standard normal distribution table](#)
### Input:
a. This is a [dropdown selection] test.
### Reminder:
- Click to select your answer(s) and then click Check Answer.
- Remaining parts to complete: 2
This activity helps you understand the process and thought framework involved in hypothesis testing, particularly in the context of standard normal distribution.
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