Abaking company has developed two new cookie recipes, however, they only have the resources to add one item to their product line. they decide to randomly sample three groups of 100 people to determine which cookie recipe, a or b, is preferred. the results are shown in the following table.

recipe a recipe b
sample #1 29 71
sample #2 38 62
sample #3 24 76
a. based on the collected data, which recipe should the baking company add to their product line? how confident should the company be in their decision? explain your reasoning using complete sentences.

b. using the mean of the data for recipe a, approximately what percentage of people would you expect to prefer recipe a over recipe b?