A large city claims that it provides “free lunch” to more than 30% of its elementary school students. A researcher selects a random sample of 200 students and finds that 72 were getting free lunches. Does the evidence supports the claim at α = 0.05?

a. State the Null and Alternative Hypotheses: (Identify which hypothesis is the claim)

b. Compute the Test statistic: (Round off correctly)

c. Find the p-value:

d. Make the decision using the Decision Rule. Use the p-value method.

e. Write the Conclusion (in plain English as related to the claim).