Question

n.503 2. A study found that approximately 50.3% of all dogs we left-handed (or pwed). In humans, lell- Landedness is a lot less common. It was found 10.1% of all humans are left-hando gose we are interested in finding the differences in proportions from independent random samples dogs and humans. We survey 100 dogs by asking them to shake) and 300 humans. T . Lehe the proportion of dogs who shake with their left paw. Let, be the proportion of humans who are left-handed. Come the mean for the sampling distribution of - P2. Show the calculation to earn full credit. b. Compute the standard error for the simpling distribution of to eam full credit. Round to three decimal places Show the calculation CI-P e is the normal distribution an appropriate model for the sampling distribution of Explain. - 3 explain the main differences in the processes for making inference about a population properties compared to making inference about a population mean

Answer 1

Given ! (n) = | 0 0 n2 = 30 0 h : B 3 So . 3 7. - O. So 3 10.1% 0.101 ca) mean of the sampling distribution of Ps - P2 is 0.503 - 0.101 0.402 12b) Standard error of the sampling distribution of pi-k is, Standard error: | Piel-b) Pa Cl-P2) n2 0,503 x0.497 0.101 + 0.899 T 100 t 300 = 0.053 ce npc-p) = 100 X 0.503 x 0.497 = 24.9991 > io n2 P2 (1-P) = 300 x 0.101X0-899 = 27. 2397 > jo The sampling distribution of sample proportion is approximately normally distributed since HIPICI , 10 and 12 Pa (1-P2) > 10