Question

A theory in genetics states that crossing two pink flowering plants will produce red flowering plants 25% of the time. To test this theory, 100 crosses are made and 32 of them produce a red flowering plant. Carry out a hypothesis test to determine if there is strong statistical evidence to support this theory. What is the p-value?

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.25

H_a : p 0.25

= x / n = 32 / 100 = 0.32

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.32 - 0.25 / [(0.25 * 0.75) / 100]

= 1.617

P(z > 1.617) = 1 - P(z < 1.617) = 0.0529

P-value = 2 * 0.0529 = 0.1058