QuestionMetal Tags on Penguins and Breeding Success A study was designed to test whether applying metal tags is detrimental to a penguin. The scientists studied the breeding success of the metal and electronic tagged penguins. Metal tagged penguins successfully produced offspring in $32 \%$ of the 122 total breeding seasons, while the electronic tagged penguins succeeded in $44 \%$ of the 160 total breeding seasons.
Construct a $90 \%$ confidence interval for the difference in proportion successfully producing offspring $\left(p_{M}-p_{E}\right.$ ). Let $p_{M}$ be the proportion of penguins with metal tags that succeeded in breeding and $p_{E}$ be the proportion of penguins with electronic tags that succeeded in breeding.
Round your answers to three decimal places.