The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random...

The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20.

Compute the Z-score for this hypothesis test and round to two decimal places.