7. A six-sided dice used in playing a board game is suspected of not giving the number 1 often enough. During a particular game, the dice was rolled 12 times and the number 1 appeared once. Does this represent evidence, at the 10% level of significance, that the probability of rolling a 1 on this dice is less than -? 171 8. Alice's gardening records show that her daffodils have a 45% chance of being taller than 35 cm. She tries a new type of fertiliser. In a random sample of 20 daffodils, 14 are taller than 35 cm. Alice claims that the new fertiliser has changed the probability of a daffodil being taller than 35 cm. Test Alice's claim at the 5% significance level. State your hypotheses clearly. [6]