Reference no: EM132849327

Two human traits controlled by a single gene are the ability to roll one's tongue and whether one's ear lobes are free or attached to the neck. Genetic theory says that people will have neither one, one, or both of these traits in the ratio 1:3:3:9 (1/16-attached, noncurling; 3/16-attached, curling; 3/16-free, noncurling; 9/16- free, curling). A biology class of 122 students collected these data:

ear lobes, tongue observed count
attached, noncurling 10
attached, curling 22
free, noncurling 31
free, curling 59

Are these data consistent with the genetic theory?

a. State appropriate hypotheses and identify the appropriate test.

b. Assuming these data are independent, how do you know if this sample is big enough?

c. Calculate the test statistic and p-value.

d. What is a meaningful conclusion?