Question

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.

Answer 1

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 : $\alpha=0.05$

By using standard normal z-value table,

Critical value (two tailed)=$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=\pm1.959964\approx\pm1.960$

Hence, the positive critical value = 1.960