Question

When comparing the difference between two population proportions, a pooled estimate of the population proportion can be used for two-tail tests where the null hypothesis assumes that the population proportions are equal.

What is the alternative hypothesis?
A. H₁ : p₁ > p₂
B. H₁ : p₁ < p₂
C. H₁ : p₁ = p₂
D. H₁ : p₁ ≠ p₂

Answer 1

The alternative hypothesis for a two-tail test where the null hypothesis assumes that the population proportions are equal is H₁ : p₁ ≠ p₂.

Step-by-step explanation:

The alternative hypothesis for a two-tail test where the null hypothesis assumes that the population proportions are equal is option D: H₁ : p₁ ≠ p₂.

When comparing the difference between two population proportions, we use a two-tail test to determine if there is a significant difference between the proportions. The alternative hypothesis, H₁, states that the population proportions are not equal.

This means that the samples from the two populations have different proportions and the null hypothesis is rejected if there is sufficient evidence to support this.

The alternative hypothesis for a two-tail test where the null hypothesis assumes that the population proportions are equal is H₁ : p₁ ≠ p₂.