Sample proportion

Pokemon is the largest-revenue toy franchise in history. However, given all the competitors Amazon currently cites as the top sellers (LOL Surprise!, Harry Potter Lego, My Lovely Unicorn), doubts are creeping in.

You take samples of children,at a time, and it turns out that on averageof them would like a pokemon. What is the probability that at mostof the next random sample of 20 children care about pokemons?

(a) Usingand, find the standard error of the proportion, SEP (hint: use formula 7.5 in the book)

(b) Find the z score of.

(c) Use excel to find the CDF of(in math notation,). Then interpret your result to determine the probability that in the next random sample, 50% of children will care about pokemon.