Question

For the following claim, state the null and alternative hypothesis.

A media consultant thinks that the percentage of college-educated adults who watch the early news on television is greater than the percentage of adults who do not have a college degree who watch the early news on television. Let p represent the percentage of college-educated adults who watch the early news on television.

Answer 1

The null hypothesis is p ≤ 0.5, and the alternative hypothesis is p > 0.5.

Step-by-step explanation:

Null hypothesis (H0): p ≤ 0.5,Alternative hypothesis (HA): p > 0.5 :

In this scenario, the null hypothesis states that the proportion of American adults who believe that major college sports programs corrupt higher education is 50% or less. The alternative hypothesis states that the proportion is greater than 50%. To test this, a confidence interval for the proportion can be constructed.

In hypothesis testing, the null hypothesis represents a statement of no effect or no difference, while the alternative hypothesis suggests the existence of an effect or a difference. The consultant believes the true state of affairs is represented by the alternative hypothesis. If an analysis were conducted, we would look at the evidence to determine whether to reject the null hypothesis in favor of the alternative or not to reject it based on a pre-determined significance level, often denoted as α.