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

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