Use the statistic of Exercise 12 to rework Exercise 70, and verify that the square of the value obtained for z equals the value obtained for χ2.
Exercise 12
Given large random samples from two binomial populations, show that the null hypothesis θ1 = θ2 can be tested on the basis of the statistic
![](https://test.transtutors.com/qimg/9f771a71-7a35-4a12-a44f-59b846adaaf2.png)
Exercise 70
In random samples, 46 of 400 tulip bulbs from one nursery failed to bloom and 18 of 200 tulip bulbs from another nursery failed to bloom. Use the χ2 statistic to test the null hypothesis θ1 = θ2 against the alternative hypothesis θ1
θ2 at the 0.05 level of significance