Select the best answer. a radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to eighteen. to find this out, he poses the following question to his listeners: "do you think that the drinking age should be reduced to eighteen in light of the fact that eighteen-year-olds are eligible for military service? " he asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not. of the 100 people who phoned in, 70 answered "yes." which of the following conditions for inference about a proportion using a confidence interval is violated? i. the data are a random sample from the population of interest. ii. the population is at least 10 times as large as the sample. iii. n is so large that both
np^
and
n(1−p^)
are at least 10. (a) i only (b) ii only (c) iii only (d) i and ii only (e) i, ii, and iii

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

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The amount of potential energy possessed by an elevated object is equal to what?