Final answer:
The z critical value for a 90.2% confidence is 1.695. For 80% confidence, the z critical value is 1.282.
Step-by-step explanation:
The z critical value for a 90.2% confidence is 1.695. This value is obtained from a standard normal probability distribution table, which is a reference table that provides the z score for a given confidence level. For 80% confidence, the z critical value is 1.282. The z score represents the number of standard deviations away from the mean.