In: Statistics and Probability
1. A study of sterility in the fruit fly reports the following data on the number of ovaries developed by each female fly in a sample of size 1386. One model for unilateral sterility states that each ovary develops with some probability p independently of the other ovary. Test the fit of this model using χ2. (Use α = 0.05.)
| x= Number of Ovaries Developed | 0 | 1 | 2 | 
| Observed Count | 1211 | 116 | 59 | 
Calculate the test statistic (Round your answer to two decimal places
2. The accompanying data refers to leaf marks found on white clover samples selected from both long-grass areas and short-grass areas. Use a χ2 test to decide whether the true proportions of different marks are identical for the two types of regions. (Use α = 0.01.)
Type of Mark
| L | LL | Y+YL | O | Others | Sample Size | |
| Long grass areas | 402 | 11 | 22 | 7 | 277 | 719 | 
| Short grass areas | 519 | 4 | 14 | 220 | 768 | 
Calculate the test statistic (Round your answer to two decimal places)