Answer: 1.960
Step-by-step explanation:
Given : Alternative hypothesis : Ha : p ≠ 82%
The hypothesis test depends on the alternative hypothesis .
Since, alternative is two-tailed, so the test is a two-tailed z-test.
[For proportion we perform z-test.]
Significance level : [tex]\alpha=0.05[/tex]
By using standard normal z-value table,
Critical value (two tailed)=[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=\pm1.959964\approx\pm1.960[/tex]
Hence, the positive critical value = 1.960
