A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 31 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test. Confidence level α = 0.1.

a. State your hypothesis hypotheses.

b. Calculate the appropriate test statistic.

c. What is p-value of this testing and which conclusion can you based on your calculated p-value?