Question

Nashville, Knoxville, and Louisville, and compare body mass index from individuals in these cities by one-way ANOVA. The resulting p-value of the omnibus ANOVA is p=0.781. You the null hypothesis and conclude that

1. reject; body composition from at least one city differs from that of at least one other city
2. reject; body composition from one city differs from that of the other two cities
3. fail to reject; body composition does not differ between cities
4. fail to reject; body composition from at least one city differs from that of the other two cities

Answer 1

Given the p-value of 0.781 in a one-way ANOVA test comparing body mass index across three cities, we fail to reject the null hypothesis, indicating no significant differences in body composition between cities.

Step-by-step explanation:

When assessing the differences in body mass index (BMI) between individuals from Nashville, Knoxville, and Louisville through a one-way ANOVA, we interpret the p-value to determine whether to reject or fail to reject the null hypothesis.

In this case, the p-value of 0.781 suggests that we fail to reject the null hypothesis, because it is higher than the common alpha level of 0.05.

This indicates that there is not enough evidence to support the conclusion that there is a significant difference in body composition between individuals from these cities.