Question 10.62 (pg. 502)

(a) If 102 of 125 sampled apartments exclude renters with children, would a level 0.05 test lead you to the conclusion that more than 75% of all apartments exclude children? Give each of the following:

H0\displaystyle {H}_{{0}}: p=0.75\displaystyle {p}={0.75}; Ha\displaystyle {H}_{{a}}: p>0.75\displaystyle {p}>{0.75}

α\displaystyle \alpha =

p^\displaystyle \hat{{p}} =

z\displaystyle {z} =

P-value =

Based on the above, we choose to

(b)What is the power of the test when p=0.8\displaystyle {p}={0.8} and α=0.05\displaystyle \alpha={0.05}?