Please show full work for the question

1. Do mice show a preference for using one paw over the other? Attempting to answer this question. a researcher tested a random sample of48 mice and observed which forepaw {right or left) the mice used to retrieve food From a narrow tube. Eighteen of the mice used their right paw, while the rest used their left paw) a. Does this data suggest that mice show a preference towards one paw over the other? Carry out the appropriate test and include all steps For Full credit. Given: critical value = 3.34} {5pf} b. During the course of the experiment, the researcher noticed that individual mice sometimes switched which Forepaw they used to retrieve the Food. So she repeated this study on the same 43 mice. but measured each one 10 times and she recorded which forepaw was used each time. With her new dataset of 430 observations. would you be able to run the same analysis as in part (a). passing all relevant assumptions? If so+ show each assumption passes If not, explain why not. (2p!)