(c) Actually, the 10,000 larvae in each group came from a series of 50 different runs of the experiment, with 200 larvae in each group for each run. The researchers believe that conditions differ from run to run, and thus it makes sense to treat each run as a case (rather than each fly). In this analysis, we are looking at paired data, and the response variable would be the difference in the number of larvae surviving between the choice group and the no choice group, for each of the 50 runs. The counts (Choice and NoChoice and difference (Choice - NoChoice) in number of surviving larva are stored in MateChoice. Using the single variable of differences, calculate the p-value for testing whether the average difference is greater than 0. [Hint: this is a single quantitative variable, so the corresponding test would be for a single mean.]
Round your answer to three decimal places.
p-value=
(d) Using a significance level of ̑ = 0.05 and the p-value from (c), do we have evidence that the average difference is greater than 0?
(e) The experiment being tested in parts (a) - (d) was designed to mimic the experiment from the original study, yet the original study yielded significant results while this study did not. If mate choice really does improve offspring fitness in fruit flies, did the follow-up study being analyzed in parts (a) - (d) make a Type I, Type II, or no error?
Type II error
No error
Type I error
(f) If mate choice really does not improve offspring fitness in fruit flies, did the original Nature study make a Type I, Type II, or no error?
Type I error
Type II error
No error