Question: An issue that has come up before the local county administration is whether or not to build a Round-a-Bout on one of their busiest highways. The county administration believes over 75% of people in the county are interested in making this addition to the highway. A random sample of 450 people showed that 76.7% were in favor of making this addition. At the .01 significance, is there enough evidence to support the claim that more than 75% of the people in the county favor the adding of a Round-a-Bout to the Highway?

Ha: \(p\le 0.75\)

H1:

= 0.01

Distribution: z-distribution

Test Statistic z = 0.98

P-value p = 0.1636

Decision on H0: Fail to reject Ho

Interpretation: We don't have enough evidence to support the claim that there is enough evidence to support the claim that more than 75% of the people in the county favor the adding of a Round-a-Bout to the Highway.