Final answer:
A significance test can be used to determine whether a majority of American adults believed Iraq was worth going to war over based on the 2003 Gallup survey.
Step-by-step explanation:
To determine whether a majority of American adults believed that Iraq was worth going to war over, we can use a significance test. In the October 2003 Gallup survey of 1006 American adults, 54% said Iraq was worth going to war over. We can set up a null hypothesis that the true proportion of American adults who believed this was true is equal to 50%. Using a significance level of 0.05, we can compare the observed proportion to the expected proportion and calculate the p-value. If the p-value is less than 0.05, we can reject the null hypothesis and conclude that a majority of American adults believed Iraq was worth going to war over.