Question

A pediatrician wants to conduct a survey to determine if the number of children per family is statistically the same in the United States, Canada, and England. To collect data for this ANOVA test, she randomly selects families in each country and records the number of children in each. Assume the conditions necessary for a one-way ANOVA are met. If the F test statistic for this data set is 0.067, which of the following conclusions is accurate? Select the correct answer below: Reject the null hypothesis. There is enough evidence to show a statistically significant difference in the number of children per family between the three countries. Fail to reject the null hypothesis. There is not enough evidence to show a statistically significant difference in the number of children per family between the three countries. There is not enough information to know if there is a statistically significant difference in the number of children per family between the three countries. Reject the null hypothesis. There is not enough evidence to show a statistically significant difference in the number of children per family between the three countries.

Answer 1

There is not enough information to know if there is a statistically significant difference in the number of children per family between the three countries.

Explanation:

There are other important information that are necessary in order to reach a decisive conclusion. This includes not just the f value only, but the alpha value, f critical value and the p-value after conducting the one way ANOVA.

Since we do not have information about the p value, as well as the alpha value there is no way to compare the effects of all the variables.

Therefore, no decision can be made by the Pediatrician without knowing what the p value is and the apha value is.