题目
A company claims that 35% of its peas germinate. In order to test this claim Ann decides to plant 15 of these peas and record the number which germinate.
(a) (i) State suitable hypotheses for a two tailed test of this claim.
(ii) Using a 5% level of significance, find an appropriate critical region for this test. The probability in each of the tails should be as close to 2.5% as possible.
(b) Ann found that 8 of the 15 peas germinated. State whether or not the company’s claim is supported. Give a reason for your answer.
(c) State the actual significance level of this test.
(Total for Question 4 is 7 marks)
题目中文翻译
一家公司声称其 35% 的豌豆会发芽。为了检验这一说法，Ann 决定种植 15 颗这样的豌豆并记录发芽的数量。
(a) (i) 为此双尾检验陈述合适的假设。
(ii) 使用 5% 的显著性水平，为此检验找到合适的临界区域。每尾的概率应尽可能接近 2.5%。
(b) Ann 发现 15 颗豌豆中有 8 颗发芽。说明公司的说法是否得到支持。给出你的理由。
(c) 说明此检验的实际显著性水平。
（第 4 题共 7 分）