The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. test h0 : p=0.28 vs ha : p< 0.28 when the sample has n=800, and p^=0.217 with se=0.01. find the value of the standardized z-test statistic. round your answer to two decimal places.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?