A recent report claimed that 13% of students typically walk to school. Jessica thinks that the proportion is lower than 0.13 at her large elementary school, so she surveys a random sample of 200 students to find out. Of the 200 students surveyed, 19 reported walking to school. Do these data provide convincing evidence at the a=0.05. significance level that the proportion of students who typically walk to school is less than 13%?
In order to receive full credit, you must include the following components in your work:
1. State the parameter and hypotheses.
2. Check conditions for performing a significance test for p.
3. Calculate the P-value and show your work. If you use a graphing calculator, state the z-score and P-value. Round all answers to 3 decimal places.
4. Decision about hypotheses in context.
