How many golfers are there in the United States? A survey of American adults (age 18 and above) asked whether they had played golf at least once a month during the summer. The responses are 2 = yes and 1 = no. The survey also asked respondents to indicate which of the following household income categories they fell into.

1. Less than $15,000

2. $15,000 to $24,999

3. $25,000 to $34,999

4. $35,000 to $49,999

5. $50,000 to $75, 000

6. More than $75,000

The latest census reveals that the number of American households in each of the income categories is as follows.

1. 75.7 million

2. 36.9 million

3. 28.3 million

4. 27.8 million

5. 21.9 million

6. 17.1 million

a. Estimate with 95% confidence the total number of golfers.

b. For each income category, estimate with 95% confidence the number of golfers who earn at least $75,000.

c. Test to determine whether income is a determinant in who plays golf.