Question

What is the Alternate Hypothesis for the following situation:

At most 60% of American vote in the presidential elections.

Answer 1

The alternative hypothesis is; Hₐ;

`\hat p` > 60%

Explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀:
`\hat p` ≤ 60%

Therefore, the alternative hypothesis is; Hₐ;
`\hat p` > 60%.