Question

In: Statistics and Probability

1. A study of sterility in the fruit fly reports the following data on the number...

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)

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