Use the following to answer the following questions:
A study to investigate the dominant paws in cats was described in the scientific journal Animal Behaviour. The researchers used a random sample of 42 domestic cats. In this study, each cat was shown a treat (5 grams of tuna), and while the cat watched, the food was placed inside a jar. The opening of the jar was small enough that the cat could not stick its head inside to remove the treat. The researcher recorded the paw that was first used by the cat to try to retrieve the treat. This was repeated 100 times for each cat (over a span of several days). The paw used most often was deemed the dominant paw (note that one cat used both paws equally and was classified as "ambidextrous"). Of the 42 cats studied, 20 were classified as "left-pawed."
Use technology to construct a bootstrap distribution with at least 1,000 samples. Use the percentiles of your bootstrap distribution to provide a 99% confidence interval for the parameter. Indicate the percentiles that you use.
▸ 0.262 to 0.667 (using the 0.5%- and 99.5%-iles)
▸ 0.310 to 0.619 (use 2.5%- and 97.5%-iles)
▸ 0.357 to 0.595 (use 5%- and 95%-iles)
▸ 0.286 to 0.643 (use 1%- and 99%-iles)
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