Refer to the Journal of Chemical Ecology (March 2013) study of the effectiveness of pheromones to attract two different strains of fall armyworms, Exercise 7.68. Recall that both corn-strain and rice-strain male armyworms were released into a corn field containing the pheromone and the percentage of males trapped by the pheromone for the two different strains was compared. If the researchers want to estimate the difference in percentages to within 5% with a 90% confidence interval, how many armyworms of each strain need to be released into the field? Assume an equal number of corn-strain and rice-strain males will be released.    

Data from Exercise 7.68

A study was conducted to determine the effectiveness of pheromones produced by two different strains of fall armyworms — the corn-strain and the rice-strain (Journal of Chemical Ecology, March 2013). Both corn-strain and rice-strain male armyworms were released into a field containing a synthetic pheromone made from a corn-strain blend. A count of the number of males trapped by the pheromone was then determined. The experiment was conducted once in a corn field, then again in a grass field. The results are provided in the table below:

Transcribed Image Text:

Corn Field Grass Field Number of corn-strain 112 215 males released Number trapped 86 164 Number of rice-strain 150 669 males released Number trapped 92 375