Compute the corresponding z-value for the following situation:

1.A newspaper claims that 52% of voters will vote for a particular candidate in an upcoming election. A random survey of 1000 voters shows that 48% will vote for that candidate, with a standard deviation of 3%.

1.A claim is made that the mean of a data set will be 500. In a test of the claim,the mean among 80 trials is actual 512, with a standard deviation of 20. What is the z-value of the given data, rounded to the nearest hundredth?