Compute the corresponding z-value for the following situation:

Question

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%.

Answer 1

 

 

z = (x_bar - μ)/(σ/√n) = (48 - 52)/(3/√1000) = -40√10 /3 = 42.16...

Answer 2

z= (.48-.52)/.03=-1.33