A recent taste test showed that 85% of people liked a new chicken sandwich recently added to a restaurant’s menu. The restaurant manager claimed that only 68% liked the new sandwich. To determine whether this sample supports the population proportion of 0.85, a simulation of 100 trials is run, each with a sample size of 30 and a point estimate of 0.85. The minimum sample proportion from the simulation was 0.66 and the maximum sample proportion from the simulation was 0.88.

a) Estimate the margin of error using the half the range method.

b) Use your margin of error to find the interval estimate.

c) Based on the computed interval estimate, is the restaurant manager’s claim that 68% of people liked the new sandwich valid? Explain your answer.