An article in Nature reports on a study of the relationship between kinship and aggression in wasps. In a controlled experiment, the proportion of 31 brother embryos attacked by soldier wasp larvae was 0.52, whereas the proportion of 31 unrelated male embryos attacked was 0.77.30
a. What are the explanatory and response variables?
b. Construct a table of (whole number) observed counts in the four possible category combinations, using rows for the explanatory variable and columns for the response.
c. Construct a table of counts expected if there were no relationship between kinship and aggression.
d. Compute the chi-square statistic, rounding to the nearest hundredth.
e. Is the P-value greater than 0.05 or less than 0.05?
f. Does the experiment provide evidence of a relationship between kinship and aggression?