Question

A business knows that [30%] of its customers are less than [25] years old. the business wants to increase this percentage, so they create a marketing campaign that targets this age group. they plan on taking a sample of customers after the marketing campaign is complete to test if the proportion of customers in that age group has significantly increased. let [p] represent the proportion of this business's customers who are less than [25] years old after the marketing campaign. which of the following is an appropriate set of hypotheses for their significance test?

Answer 1

The null hypothesis (H0) is that the proportion of customers less than 25 years old remains 30% (p = 0.30), and the alternative hypothesis (H1) is that the proportion has increased after the marketing campaign (p > 0.30).

Step-by-step explanation:

In a significance test scenario, the null hypothesis (H0) typically states that there is no significant change or effect, while the alternative hypothesis (H1) suggests the presence of a significant change. In this context, H0 asserts that the proportion of customers less than 25 years old remains at 30% (p = 0.30), reflecting the baseline percentage before the marketing campaign. The alternative hypothesis, H1, posits that the marketing campaign has had a significant impact, resulting in an increased proportion of customers in this age group (p > 0.30).

These hypotheses allow for statistical testing to determine whether the observed changes in the sample after the marketing campaign are statistically significant and not just due to random variation.