Answer :
The zα/_2 value for α=0.10 corresponds to the upper tail of the standard normal distribution, which equals a z-score of approximately 1.64. Hence, the correct option is D.
To find the zα/_2 value for α=0.10, we need to determine the z-score that corresponds to the upper tail (1-α/_2) of the standard normal distribution.
For α = 0.10, the upper tail would be 1 - 0.10/2, which equals 0.95.
Looking up 0.95 in the standard normal distribution table or using a calculator with inverse normal distribution capabilities would give us a z-value of approximately 1.64.
Hence, the correct option is D.