In 2011, a U.S. Census report determined that 54% of college students are working students. A researcher thinks this percentage has changed and surveys 198 college students. The researcher reports that 119 of the 198 are working students. Is there evidence to support the researcher's claim at the 1% significance level? a. Determine the null and alternative hypotheses. Ho:p На: a:P]? ♥ (Select the correct symbol and enter the value.) b. Determine the test statistic. (Round to two decimal places.) c. Find the p-value. (Round to four decimal places.)
In 2011, a U.S. Census report determined that 54% of college students are working students. A researcher thinks this percentage has changed and surveys 198 college students. The researcher reports that 119 of the 198 are working students. Is there evidence to support the researcher's claim at the 1% significance level? a. Determine the null and alternative hypotheses. Ho:p На: a:P]? ♥ (Select the correct symbol and enter the value.) b. Determine the test statistic. (Round to two decimal places.) c. Find the p-value. (Round to four decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Testing the Percentage of Working College Students
In 2011, a U.S. Census report determined that 54% of college students are working students. A researcher thinks this percentage has changed and surveys 198 college students. The researcher reports that 119 of the 198 are working students. Is there evidence to support the researcher's claim at the 1% significance level?
#### Steps to Determine the Hypothesis
**a. Determine the null and alternative hypotheses.**
- Null Hypothesis \( H_0 \): \( p = \) ______
- Alternative Hypothesis \( H_a \): \( p \) ______ (Select the correct symbol and enter the value.)
**Note:** Fill in the blanks to specify the exact percentage.
**b. Determine the test statistic.** (Round to two decimal places.)
\[ z = \] ______
**c. Find the p-value.** (Round to four decimal places.)
\[ p\text{-value} = \] ______
#### Decision Making
**d. Based on the significance level and p-value, state the decision for this test.**
- ○ Fail to reject the null hypothesis.
- ○ Reject the null hypothesis.
#### Conclusion
**e. Write the conclusion.**
- ○ There is sufficient evidence to support the statement that the percentage of working college students is the same as the census reported.
- ○ There is sufficient evidence to support the claim that the percentage of working college students has changed since the census.
- ○ There is not sufficient evidence to support the statement that the percentage of working college students is the same as the census reported.
- ○ There is not sufficient evidence to support the claim that the percentage of working college students has changed since the census.
---
In this problem, you will go through hypothesis testing to determine whether there is enough statistical evidence to support the researcher's claim about the change in the percentage of working college students since the 2011 U.S. Census report. Complete the steps accordingly and use proper rounding for your calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48699ae0-6c1f-4889-b5a2-9929e5766b17%2F4a48ed17-5413-4685-9858-efbb32a9a09a%2Fvooioz7_processed.png&w=3840&q=75)
Transcribed Image Text:### Testing the Percentage of Working College Students
In 2011, a U.S. Census report determined that 54% of college students are working students. A researcher thinks this percentage has changed and surveys 198 college students. The researcher reports that 119 of the 198 are working students. Is there evidence to support the researcher's claim at the 1% significance level?
#### Steps to Determine the Hypothesis
**a. Determine the null and alternative hypotheses.**
- Null Hypothesis \( H_0 \): \( p = \) ______
- Alternative Hypothesis \( H_a \): \( p \) ______ (Select the correct symbol and enter the value.)
**Note:** Fill in the blanks to specify the exact percentage.
**b. Determine the test statistic.** (Round to two decimal places.)
\[ z = \] ______
**c. Find the p-value.** (Round to four decimal places.)
\[ p\text{-value} = \] ______
#### Decision Making
**d. Based on the significance level and p-value, state the decision for this test.**
- ○ Fail to reject the null hypothesis.
- ○ Reject the null hypothesis.
#### Conclusion
**e. Write the conclusion.**
- ○ There is sufficient evidence to support the statement that the percentage of working college students is the same as the census reported.
- ○ There is sufficient evidence to support the claim that the percentage of working college students has changed since the census.
- ○ There is not sufficient evidence to support the statement that the percentage of working college students is the same as the census reported.
- ○ There is not sufficient evidence to support the claim that the percentage of working college students has changed since the census.
---
In this problem, you will go through hypothesis testing to determine whether there is enough statistical evidence to support the researcher's claim about the change in the percentage of working college students since the 2011 U.S. Census report. Complete the steps accordingly and use proper rounding for your calculations.
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