Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (μ, ρ, σ) for the indicated parameter.

Question

A researcher claims that 62% of voters favor gun control.

A) H_0: p = 0.62; H_1: p ≠ 0.62
B) H_0: p ≠ 0.62; H_1: p = 0.62
C) H_0: p ≥ 0.62; H_1: p < 0.62
D) H_0: p < 0.62; H_1: p ≥ 0.62

Answer 1

The correct option for expressing the null hypothesis and the alternative hypothesis based on the researcher's claim that 62% of voters favor gun control is:

A) \( H_0: p = 0.62; H_1: p \neq 0.62 \)

In this context:

• \( H_0 \) (the null hypothesis) states that the proportion of voters favoring gun control is equal to 62%.
• \( H_1 \) (the alternative hypothesis) states that the proportion of voters favoring gun control is not equal to 62%.