## Elementary Statistics (12th Edition)

a) $0.5239$ b) $0.8944$ c) Yes
a) We first find the value of z: $z=\frac{0.8565−0.8535}{0.0518/\sqrt1}=0.06$ Using the table of z-values, we see that the probability is $0.5239$. b) $z=\frac{0.8565−0.8535}{0.0518/\sqrt{465}}=1.25$ Using the table of $z$-values, we see that the probability is $0.8944$. c) Yes, since the rate is almost $90$ %, it seems that the claim is fair.