The parasitoid wasp Leptopilina helerolama injects eggs into

The parasitoid wasp, Leptopilina helerolama, injects eggs into young larvae of fruit flies. Drosophila melanogaster. One reaction by the flies is to self-medicate by consuming alcohol (ethanol), which is naturally present in the decaying fruits where they live. The ethanol reduces oviposition by wasps, and it increases death rates of wasp larvae within parasitized flies. Researchers investigated whether the presence of the wasp influences where female fruit flies prefer to lay their eggs. They presented female flies in cages with two dishes of fly food, one having 6% ethanol and the other with 0% ethanol. They recorded the proportion of eggs laid in the 6% ethanol dish when females were placed with female wasps, with male wasps, or with no wasps. The data below give the proportion of eggs laid in the ethanol dish for multiple replicates of each wasp treatment. The following table provides the means, standard deviations and sample sizes for the data. Note that proportion data where groups have different means often also have different standard deviations. Apply a log transformation and an arcsine transformation (p\' = arcsine(square root p)) to the data, and assess whether either set of transformed data exhibits less heterogeneity across group standard deviations. Based on (b), state the null and alternative hypothesis you would use in conducting an ANOVA. Make a graph based on the transformed data you would use in your ANOVA. In addition to the transformed data itself, show the means and standard errors of the means. The table below shows partial results of a Tukcy-Kramer multiple comparisons of means. Complete the table by adding test conclusions. Add symbols to the graph in part (c) to illustrate the results of the Tukcy -Kramer test Thai is show which means group together on the basis of statistical significance.

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