1. A magazine reported 66% of all dog owners usually greet their dog before greeting their

spouse or children when they return home at the end of the workday. Researchers select 40

dog owners at random and ask them whom they greet first when returning home. The 95%

confidence interval for the proportion of owners who greet their dog first is 0.475 to 0.775.

a) Interpret the confidence interval,

b) Calculate the point estimate and margin of error used to create this confidence interval,

c) Based on the confidence interval, is it plausible that the true proportion of all owners whi

greet their dog first is 66%? Explain.