A magazine reported that 66% of 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 true proportion of owners who greet their dog first is 0.475 to 0.775.
(b) Calculate the point estimate and margin of error used to create this confidence interval. Do not round your answers.
Point Estimate =
Margin of error=
(c) Based on the confidence interval, is it plausible that the true proportion of owners who greet their dog first is 66%? Explain your reasoning.