Your claim results in the following alternative hypothesis: ha : p ≠ 82% which you test at a significance level of α = .05 . find the positive critical value, to three decimal places.

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 :

By using standard normal z-value table,

Critical value (two tailed)=

Hence, the positive critical value = 1.960