A recent study at a local college daimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 265 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's daim at the 0.01 level of significance?
A recent study at a local college daimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 265 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's daim at the 0.01 level of significance?
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A recent study at a
![# Hypothesis Testing in Educational Statistics
## Problem Statement
A recent study at a local college claimed that the proportion, \( p \), of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 265 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's claim at the 0.01 level of significance?
### Instructions
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
### Table
1. **The null hypothesis (\( H_0 \)):**
- [Enter the null hypothesis]
2. **The alternative hypothesis (\( H_1 \)):**
- [Enter the alternative hypothesis]
3. **The type of test statistic:**
- [Select from options]
4. **The value of the test statistic:**
- (Round to at least three decimal places)
- [Enter the value]
5. **The p-value:**
- (Round to at least three decimal places)
- [Enter the p-value]
### Additional Resources
You can save your progress or submit your assignment at any time using the buttons provided.
- **Save For Later**
- **Submit Assignment**
---
For any questions or clarifications, please consult the additional resources provided, such as a list of formulas or the help section.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda3547e6-2671-4a31-839e-65735c786fda%2F8849e475-07bb-47eb-989d-9d12e013bbe1%2Flu36c4w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Hypothesis Testing in Educational Statistics
## Problem Statement
A recent study at a local college claimed that the proportion, \( p \), of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 265 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's claim at the 0.01 level of significance?
### Instructions
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
### Table
1. **The null hypothesis (\( H_0 \)):**
- [Enter the null hypothesis]
2. **The alternative hypothesis (\( H_1 \)):**
- [Enter the alternative hypothesis]
3. **The type of test statistic:**
- [Select from options]
4. **The value of the test statistic:**
- (Round to at least three decimal places)
- [Enter the value]
5. **The p-value:**
- (Round to at least three decimal places)
- [Enter the p-value]
### Additional Resources
You can save your progress or submit your assignment at any time using the buttons provided.
- **Save For Later**
- **Submit Assignment**
---
For any questions or clarifications, please consult the additional resources provided, such as a list of formulas or the help section.
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