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.

The answer is -pie over 2

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!