Hypothesis test for a population proportion
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 . If a random sample of students at this college is selected, and it is found that commute more than fifteen miles to school, can we reject the college's claim at the level of significance?
Perform a one-tailed test. Then fill in the answers below.
Carry your intermediate computations to at least three decimal places and round your answers.
3. Type of test statistic:
4. Degree of freedom:
5. The value of the test statistic (round to at least three decimal places):
6. The p-value (round to at least three decimal places):
7. Can we reject the claim that the proportion of students who commute more than 15 miles to school is no more than 15%?
The solution provides step by step method for the calculation of test statistic for population proportion. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.