I'm having a list of Pearson's correlation coefficients (r). Then, I performed the Fisher's Z transformation using the formula: z = 1/2 ln(1+r/1-r). Now, I want to compute corresponding p-values for each identified z score. After referring to Google, I detect a formula to compute p-value (two-sided) like: p-value = 2*pnorm(-abs(z)) Is it correct? Also, Can anyone give me a formula to compute 95% confidence intervals of z score?

Btw, I'm using R to handle all of them! Thanks bunch in advance