In a focus group 38% of people liked the product you were developing. In order to get the company you work for to develop this product you would need a higher percentage of people who like your product. You make a few changes and in another sample of 67 people in a focus group 38 liked your product.

a) At the .01 level did your changes to the product increase the % of people who liked it? (p = 0)

b) Interpret the p-value

c) Based on a) were the changes a good idea in terms of people liking the product? Explain

d) The 99% confidence interval is "lower bound for p is .426" interpret this in context of the problem

e) If you took another sample of size 67 could you expect as few as 41% of people to like your product? Explain