1.) A statistician is being asked to test a new theory that the proportion of population A possessing a given characteristic is greater than the proportion of population B possessing the characteristic. A random sample of 600 from population A has been taken and it is determined that 480 possess the characteristic. A random sample of 700 taken from population B showed that 350 possess the characteristic. The observed z for this is _______.
2.) It is estimated that the average person in the US uses 123 gallons of water per day. Some environmentalists believe this figure is too high and conducted a survey of 40 randomly selected Americans. They find a mean of 113.03 gallons and a standard deviation of 25.99 gallons. Calculate the p-value for this test statistic.
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