A survey was done of families in the state of Kansas with exactly eight children. In each family, each child was classified as either left or right handed. The number of families of each possible composition is summarized in the table below. Test whether lefties per family is binomial distributed. Place a 95% confidence interval on any parameter estimates.

Number of Lefties

Number of families

0

40

1

370

2

290

3

200

4

100

5

40

6

10

7

4

8

1

What should my and be? Can anyone help me?