In: Statistics and Probability
Eclosion refers to the emergence of an adult insect from an egg. The following data gives eclosion rates when nymphs were exposed to heat for various durations.
| Duration (d) | 0 | 1 | 2 | 3 | 5 | 10 | 15 | 
|---|---|---|---|---|---|---|---|
| Sample size | 126 | 42 | 47 | 44 | 46 | 42 | 10 | 
| # Emerged: | 107 | 38 | 44 | 40 | 38 | 35 | 7 | 
Carry out a chi-squared test to decide whether it is plausible
that eclosion rate does not depend on exposure duration.
a. State the appropriate hypotheses.
b. Calculate the test statistic value. (X^2)