Question

more than 27% of workers got their job through internet resume sites. Express the null and alternative hypothesis is symbolic form for this claim( enter as a percentage)

Answer 1

The null hypothesis (H0) is that the percentage of workers who got their job through internet resume sites is 27% or less (H0: p ≤ 0.27), and the alternative hypothesis (H1) is that the percentage is greater than 27% (H1: p > 0.27).

Step-by-step explanation:

To express the claim that more than 27% of workers got their job through internet resume sites in the form of the null hypothesis (H0) and the alternative hypothesis (H1), we would use the following symbolic expressions:

• The null hypothesis, written as H0, is that the percentage of workers who got their job through internet resume sites is at most 27%. Symbolically, this is expressed as H0: p ≤ 0.27.
• The alternative hypothesis, written as H1 or Ha, posits that the percentage is greater than 27%. Symbolically, this is expressed as H1: p > 0.27.

It's essential to clearly define the null and alternative hypotheses because they form the basis of hypothesis testing in statistics. All tests of significance start with the null hypothesis, and we either reject H0 in favor of H1 if the evidence supports this, or fail to reject H0 if the evidence is not strong enough.