Question

A public health official claims that more than 5.8 percent of the population suffers from long-term COVID symptoms. Use p, the true percentage of the population that suffers from long-term COVID. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (μ, ρ, σ) for the indicated parameter. A. H0 : p = 5.8% H1 : p < 5.8% B. H0 : p = 5.8% H1 : p > 5.8% C. H0 : p = 5.8% H1 : p ≤ 5.8% D. H0 : p = 5.8% H1 : p ≥ 5.8%

Answer 1

B. H0 : p = 5.8% H1 : p > 5.8%

The null hypothesis, denoted H0, is a statement that asserts that there is no significant difference between a sample statistic and a population parameter. In this case, the null hypothesis would be that the true percentage of the population that suffers from long-term COVID symptoms is equal to 5.8 percent. This is represented symbolically as H0 : p = 5.8%.

The alternative hypothesis, denoted H1, is a statement that contradicts or negates the null hypothesis. In this case, the alternative hypothesis would be that the true percentage of the population that suffers from long-term COVID symptoms is greater than 5.8 percent. This is represented symbolically as H1 : p > 5.8%.