[填空题]
The table below shows the breed of cats exhibited at the firsf4 )u(.3egd vtxa(lbn t widely known (g0ehxuf10 5bt ./6th ldpuyucat show in London at Crystal P6bp005xu/efy h(thlut .u g 1dalace in 1871. In this early exhibition, only sixty-five cats were on displace.
1. For a cat in this exhibition chosen at random, find the probability that
1. it is a male; ≈
2. it is a Persian female; ≈
3. it is Siamese given that it is a male.
2. Find the probability that two randomly chosen British Shorthair cats are both females.
A $\chi^{2}$ test is carried out at the 5 $\%$ significance level for the data in the table. ≈
3. State the null hypothesis for this test.
4. Find the expected frequency of female Persian cats. ≈
5 . Write down the number of degrees of freedom for this test.
6. Using your graphic display calculator, find the $\chi^{2}$ statistic for this test.≈
The critical value for this test is 15.5 .$x^2$ =
7. State the conclusion for this test. Give a reason for your answer.
