The JC Penney department store chain segments the market for women’s apparel by its identification of values. The three segments are:

1. Conservative

2. Traditional

3. Contemporary

Questionnaires about personal and family values are used to identify which segment a woman falls into. Suppose that the questionnaire was sent to a random sample of 1,836 women. Each woman was classified using the codes 1, 2, and 3. The latest census reveals that there are 124,723,003 adult women in the United States. Use a 95% confidence level.

a. Estimate the proportion of adult American women who are classified as traditional.

b. Estimate the size of the traditional market segment.