In 1945, an organization asked 1504 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 792 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945? Use the a=0.05 level of significance. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). What are the null and alternative hypotheses? Ho ▼ ▼ versus H₁ ▼ ▼ (Type integers or decimals. Do not round.)
In 1945, an organization asked 1504 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 792 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945? Use the a=0.05 level of significance. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). What are the null and alternative hypotheses? Ho ▼ ▼ versus H₁ ▼ ▼ (Type integers or decimals. Do not round.)
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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![### Hypothesis Testing in Historical Context
In 1945, an organization conducted a survey by randomly sampling 1504 American citizens. They were asked: "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" Out of the 1504 respondents, 792 responded 'yes.' To determine if a majority (more than 50%) of the citizens believed that the country could develop a means of protection from atomic bombs in 1945, we will use a hypothesis test at the \(\alpha = 0.05\) significance level.
#### Hypotheses Formulation
We will set up our null and alternative hypotheses as follows:
- \(H_{0}\): \( p = 0.5 \) (This means the proportion of citizens who believed we could develop a protection system is equal to 50%.)
- \(H_{1}\): \( p > 0.5 \) (This indicates that more than 50% of the citizens believed in the development of such a protection system.)
**Null and Alternative Hypotheses (in symbols):**
\[ H_{0}: p = 0.5 \]
\[ H_{1}: p > 0.5 \]
(Type integers or decimals. Do not round.)
#### Standard Normal Distribution Table
For hypothesis testing, you may need to refer to the standard normal distribution table. Click on the following links for the tables:
- [Click here to view the standard normal distribution table (page 1).](#)
- [Click here to view the standard normal distribution table (page 2).](#)
#### Additional Resources
For further assistance, you can utilize the following options:
- **Help me solve this**
- **View an example**
- **Get more help**
Once you input your values and make your calculations, you can verify your results by clicking the "Check answer" button.
This exercise showcases how to apply statistical methods to assess public opinion during historical events, providing valuable insights into societal attitudes and helping us better understand the past.
---
Note: The above image includes a typical hypothesis testing setup in an online educational resource. The options for viewing examples, getting help, and clearing answers are usually part of interactive learning platforms. There are no graphs or diagrams in the given image to describe.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfee5922-5e9b-4d5c-bb5d-6eee324be123%2F4f41b955-e8fd-497f-b0c6-d7fbc839510a%2Foc3lma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing in Historical Context
In 1945, an organization conducted a survey by randomly sampling 1504 American citizens. They were asked: "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" Out of the 1504 respondents, 792 responded 'yes.' To determine if a majority (more than 50%) of the citizens believed that the country could develop a means of protection from atomic bombs in 1945, we will use a hypothesis test at the \(\alpha = 0.05\) significance level.
#### Hypotheses Formulation
We will set up our null and alternative hypotheses as follows:
- \(H_{0}\): \( p = 0.5 \) (This means the proportion of citizens who believed we could develop a protection system is equal to 50%.)
- \(H_{1}\): \( p > 0.5 \) (This indicates that more than 50% of the citizens believed in the development of such a protection system.)
**Null and Alternative Hypotheses (in symbols):**
\[ H_{0}: p = 0.5 \]
\[ H_{1}: p > 0.5 \]
(Type integers or decimals. Do not round.)
#### Standard Normal Distribution Table
For hypothesis testing, you may need to refer to the standard normal distribution table. Click on the following links for the tables:
- [Click here to view the standard normal distribution table (page 1).](#)
- [Click here to view the standard normal distribution table (page 2).](#)
#### Additional Resources
For further assistance, you can utilize the following options:
- **Help me solve this**
- **View an example**
- **Get more help**
Once you input your values and make your calculations, you can verify your results by clicking the "Check answer" button.
This exercise showcases how to apply statistical methods to assess public opinion during historical events, providing valuable insights into societal attitudes and helping us better understand the past.
---
Note: The above image includes a typical hypothesis testing setup in an online educational resource. The options for viewing examples, getting help, and clearing answers are usually part of interactive learning platforms. There are no graphs or diagrams in the given image to describe.
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