Question

Question 5 - Researchers use ANOVA to examine the relationship between primary language spoken and number of hospital admissions and report a statistically significant association (F=6.11, p=0.022). You know this means:

Select Speaking English is associated with fewer hospital admissions as your answer

Speaking English is associated with fewer hospital admissions

Select The average number of hospital admissions differs significantly among the groups of primary language speakers. as your answer

The average number of hospital admissions differs significantly among the groups of primary language speakers.

Select The within group variation is similar to the between group variation. as your answer

The within group variation is similar to the between group variation.

Select There is a significant difference in the average number of hospital admissions between all of the groups. as your answer

There is a significant difference in the average number of hospital admissions between all of the groups

Answer 1

For the ANOVA, the null and alternative hypotheses are

Ho : There is no difference in the average number of hospital admissions between all groups (of different primary languages)

Ha : There is a significant difference in the average number of hospital admissions between all groups (of different primary languages)

Since F = 6.11 and p = 0.022

Considering 5% level of significance that is ,

g= 0,05

0.022 < 0.05

that is p-value < $\alpha$

Hence, we reject Ho

Conclusion is (Answer - Option 2)

The average number of hospital admissions differs significantly among the groups of primary language speakers