Question

In Genetics, it is known that the dominant and recessive traits show 3:1 ratio. A certain flower has only two colors: white (dominant) and red (recessive), and a research observed colors of 100 flowers in a field. If he/she observed 67 white and 33 red.

(a) Does this data support the claim in Genetics? (Use α = 0.1.)

(b) Construct a 90% confidence interval for the proportion of white flowers.

(c) Can we derived the conclusion of (a) based on the confidence interval we derive in (b)?

Answer 1

(a)

The dominant and recessive traits show 3:1 ratio means proportion of white flower should be

p = 3 / (3+1) = 0.75

Following is the test;

(b)

(c)

Since confidence interval does not contain 0.75 so we fail to reject the null hypothesis on the basis of confidence interval.