Question: During the period from June 27-29, 2003, the Gallup organization asked stock market investors about the amount and type of their investments. The questions asked the investors were:

A. Is the total amount of your investments right now $10,000 or more, or is it less than $10,000?

B. If you had $1000 to invest, would you be more likely to invest it in stocks or bonds?

In response to the first question, 65% of the 692 investors reported that they currently have at least $10,000 invested in the stock market. In response to the second question, 48% of the 692 investors reported that they would be more likely to invest in stocks (over bonds).

a) Compute and interpret the 95% confidence intervals in the context of the question.

b) What would the size of the sample need to be for the margin of error to be 3%.