Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures. If you could show the work, the would-be great, calculator steps are fine.

12 [Maximum mark: 7] A theory claims that, when sweet peas with red flowers and sweet peas with white flowers are crossed, the next generation of sweet peas have red, white, and pink flowers in the proportions , , and g respectively. The outcomes in an actual experiment are as follows: 24 with red flowers, 34 with white flowers, and 62 with pink flowers. A x2 goodness of fit test at a 1% significance level was conducted on the data. a State the null and alternative hypotheses. [2] 6 State the number of degrees of freedom. [1] c Find the p-value. [2] d What is the conclusion of the test? Give reasons for your answer. [2]