Discuss the below:
Hypothesis test for a population proportion
Q: 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 255 students at this college is selected, and it is found that 41 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance?
Perform a one-tailed test. Then fill in the answers below
1. H0:
2. H1:
3. Type of test statistic:
4. Degree of freedom:
5. The value of the test statistic
6. The p-value
7. Can we reject the claim that the proportion of students who commute more than 15 miles to school is no more than 15%?