A hunting supply store is interested in knowing whether three different brands of goose decoys are equally effective in attracting geese.Each goose decoy is randomly assigned to five hunters,and the order of each experiment is also randomized.An experiment consists of a hunter using one goose decoy and waiting fifteen minutes.The number of geese attracted by the decoy is counted.The data are analyzed and calculations show an F-ratio of 7.878.Assuming that the conditions required for ANOVA are satisfied,what is the P-value? What would you conclude?
A)p = 0.0065.Reject H0 using α = 0.05.
B)p = 0.7001.Do not reject H0 using α = 0.05.
C)p = 0.0703.Reject H0 using α = 0.10.
D)p = 0.0065.Reject H0 using α = 0.001.
E)p = 0.0703.Reject H0 using α = 0.05.

Question

Quizplus · Accepted Answer

Since we are conducting an ANOVA with three groups, there are two degrees of freedom: one for the numerator (between-group) and one for the denominator (within-group). Using these degrees of freedom and the calculated F-ratio of 7.878, we can find the P-value using a standard F-table or a statistical software. Assuming a significance level of 0.05, we compare the P-value to this value. The P-value of 0.0065 is less than 0.05, so we reject the null hypothesis and conclude that there is significant evidence to suggest not all three brands of goose decoys are equally effective in attracting geese.

A Hunting Supply Store Is Interested in Knowing Whether Three