Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots. Exercise 5.44, The researchers obtained a random sample of 106 social robots through a Web search and determined that 63 were designed with legs, but no wheels.
a. Find a 99% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result.
b. In Exercise 5.42, you assumed that 40% of all social robots are designed with legs, but no wheels. Comment on the validity of this assumption.