Use the critical value method to determine if the sample data support the epidemiologists' supposition that the true rate of infection in the country is higher than 9.4%. Use a significance level of 5%. State the null and alternative hypothesis for this test. Ho: P= 0.094 H₁:p> 0.094 Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used TH Student's t distribution should be used
Use the critical value method to determine if the sample data support the epidemiologists' supposition that the true rate of infection in the country is higher than 9.4%. Use a significance level of 5%. State the null and alternative hypothesis for this test. Ho: P= 0.094 H₁:p> 0.094 Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used TH Student's t distribution should be used
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Infection Rate Hypothesis Testing**
A new virus has taken root in a country. Government officials are reporting that 9.4% of the population is currently infected with the virus. However, epidemiologists across the country claim to be observing a much higher infection rate.
It was found that 171 people out of a randomly selected sample of 1490 people from around the country were infected with the virus.
Use the critical value method to determine if the sample data support the epidemiologists’ supposition that the true rate of infection in the country is higher than 9.4%. Use a significance level of 5%.
1. **State the null and alternative hypotheses for this test.**
Null Hypothesis (\(H_0\)): \( p = 0.094 \)
Alternative Hypothesis (\(H_1\)): \( p > 0.094 \)
2. **Determine if this test is left-tailed, right-tailed, or two-tailed.**
- two-tailed
- right-tailed
- left-tailed
*Selected Option:* right-tailed
3. **Should the standard normal (z) distribution or Student’s (t) distribution be used for this test?**
- The standard normal (z) distribution should be used
- The Student’s (t) distribution should be used
*Selected Option:* The standard normal (z) distribution should be used
![## Hypothesis Testing in Epidemiology
### Determine the Critical Value(s)
Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.
`[Text Box]`
### Determine the Test Statistic
Determine the test statistic. Round the solution to two decimal places.
`[Text Box]`
### Determine the Appropriate Conclusion
Determine the appropriate conclusion for this hypothesis test.
- ⬜ The sample data provide sufficient evidence to reject the epidemiologists' claim (alternative hypothesis) that the infection rate is higher than 9.4% and thus we concluded that the infection rate of the virus is likely 9.4%.
- ⬜ The sample data do not provide sufficient evidence to reject the government's claim (null hypothesis) that the infection rate of the virus is 9.4% and thus we conclude that the infection rate of the virus is likely 9.4%.
- ⬜ The sample data provide sufficient evidence to reject the government's claim (null hypothesis) that the infection rate of the virus is 9.4% and thus we conclude that the infection rate of the virus is likely greater than 9.4%.
- ⬜ The sample data do not provide sufficient evidence to reject the epidemiologists' claim (alternative hypothesis) that the infection rate is higher than 9.4% and thus we concluded that the infection rate of the virus is likely greater than 9.4%.
### Additional Information
- **Temperature:** 75°F
- **Weather Condition:** Partly cloudy
- **User Interface:** Screenshot shows a typical digital input interface for online educational materials.
This information helps in understanding hypothesis testing's applications in real-world situations such as epidemiology. Complete the critical values and test statistics boxes before moving on to conclusion determination.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf14cf2c-4c6b-44b0-8c19-b82da3615fd0%2Fbbfefe6f-1615-42ca-90b0-3a658c70166f%2Fgonn6o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Hypothesis Testing in Epidemiology
### Determine the Critical Value(s)
Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.
`[Text Box]`
### Determine the Test Statistic
Determine the test statistic. Round the solution to two decimal places.
`[Text Box]`
### Determine the Appropriate Conclusion
Determine the appropriate conclusion for this hypothesis test.
- ⬜ The sample data provide sufficient evidence to reject the epidemiologists' claim (alternative hypothesis) that the infection rate is higher than 9.4% and thus we concluded that the infection rate of the virus is likely 9.4%.
- ⬜ The sample data do not provide sufficient evidence to reject the government's claim (null hypothesis) that the infection rate of the virus is 9.4% and thus we conclude that the infection rate of the virus is likely 9.4%.
- ⬜ The sample data provide sufficient evidence to reject the government's claim (null hypothesis) that the infection rate of the virus is 9.4% and thus we conclude that the infection rate of the virus is likely greater than 9.4%.
- ⬜ The sample data do not provide sufficient evidence to reject the epidemiologists' claim (alternative hypothesis) that the infection rate is higher than 9.4% and thus we concluded that the infection rate of the virus is likely greater than 9.4%.
### Additional Information
- **Temperature:** 75°F
- **Weather Condition:** Partly cloudy
- **User Interface:** Screenshot shows a typical digital input interface for online educational materials.
This information helps in understanding hypothesis testing's applications in real-world situations such as epidemiology. Complete the critical values and test statistics boxes before moving on to conclusion determination.
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