A local utility service call center claims that 85% of its calls are answered and resolved within 15 minutes. To verify this claim, an auditor inspects the call transcripts of 200 randomly selected customers who contacted the call center within the past year. Only 156 (78%) of these calls were answered and resolved within 15 minutes. The sampling distribution of the sample proportion, p hat, is approximately Normal with a mean of 0.85 and a standard deviation of 0.0252. Assuming the call center’s claim is true, what is the probability that less than 78% of these calls were answered and resolved within 15 minutes? If needed, use the z-table to answer the question.
