How Many Household Cots Hunt Birds? "Domestic cats kill many more wild birds in the United States than scientists thought," states a recent article.' Researchers used a sample of a = 140 households in the US with cats to estimate that 35 % of household cats in the US hunt outdoors. 1Milius, S., "Cats kill more than one billion birds each year," Science News, 183(4), February 23, 2013, revised March 8, 2014. Data approximated from information give in the article.(e) Find a 90 % confidence interval for the proportion of household cats in the US that hunt outdoors. Round your answers to three decimal places. The 90 % confidence interval is i to[b) Is it plausible that the proportion of household cats in the US hunting outdoors is 0.45? Is it plausible that the proportion of household cats in the US hunting outdoors is 0.30