The Boston Consulting Group released a survey of 940 executives representing 68 countries. One of the questions on the survey examined if the executives ranked innovation as the top priority for the coming year. 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 proportion 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.