Final answer:
A hypothesis test reveals that a higher proportion of millionaires can wiggle their ears compared to the general population, and the difference is statistically significant at the 0.05 level.
Step-by-step explanation:
Regarding the question if the percentage of millionaires who can wiggle their ears is different from the general population, a hypothesis test can be performed at the 0.05 level of significance. Observing that 137 out of 726 millionaires can wiggle their ears, which is about 18.9%, is higher than the assumed general proportion of 15%. To determine if this difference is statistically significant, a test of proportion can be conducted.
Given an alpha of 0.05 and a sample result of 137 out of 726, if the p-value from this test is less than alpha, the null hypothesis would be rejected. This would indicate there is sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is different from that of the general population. Since the decision is to reject the null hypothesis based on a p-value < alpha, we can conclude that, at the 5 percent significance level, there is significant evidence to suggest a difference in this ability between millionaires and the general population.
completed question:
Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 726 millionaires surveyed, 137 could wiggle their ears. What can be concluded at the 0.05 level of significance?