One of the questions on a survey of business managers in different parts of the world was whether executives ranked innovation as the top priority for the coming year. Suppose the responses from 400 executives in the United States and 300 in Asia are given in the file titled Priority.

a. Determine if the sample sizes are large enough to provide assurance that the sampling distribution of the difference in the sample proportions of executives who feel innovation is their top priority is normally distributed.

b. Determine if the same proportion of U.S. and Asian executives feel that innovation is their top priority for the coming year. Use a significance value of 0.05 and the p-value approach.