Hermit crabs fight for ownership of shells. Fights are initiated when one crab raps onthe shell of another with its big claw. An exchange of shells occurs approximately50% of the time. Investigators wish to see if the rapping force helps decide the issue.They set up an experiment with a rubberized shell, which would dampen the force ofthe rapping. They reason that the reduced force should result in fewer exchanges ofshells. They then observed 59 fights to see how many shell exchanges occurred.
a) What null and alternative hypotheses should the investigators use?
In a fewsentences, justify your choice of the alternative hypothesis
b) Describe a Type I error and a Type II error in this context.
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