Question

A fast food junkie hypothesizes that how often a student goes out for fast food will vary based on their favorite fast food restaurant (Arby's, McDonald's, Taco Bell, Wendy's). To prove this a sample of 52 college students were asked how many times a week they go out for fast food and what fast food restaurant is their favorite. The data was analyzed using SPSS and the following output was generated: ANOVA Sig How many times a week do you typically get fast food? Sum of Squares df Mean Square Between Groups 24.675 8. 225 Within Groups 126.133 2.628 Total 150.808 3.130 034 Does the sample data prove the fast food junkie's hypothesis is correct? Use a CAPITAL M for mu () Use a level of significance of 0.10. 1) Ho: HA 2) Test Statistic value: dfd:

Answer 1

Solution :

1) H0: M1=M2=M3=M4

​​​​​ HA: Atleast one group mean differ from other groups.

2) As per given ANOVA table

Test statistic value is 3.130.

df of Total sum of square = n-1=52-1=51 dfn=df of between groups= k-1=4-1=3

dfd=df of within groups=n-k=52-4=48

3) P-value from ANOVA output above= 0.034

4) Decision : R

level of significance =0.10

P-value is less than level of significance i. e.

0.034 0.10

Therefore, we reject H0.

5) Conclusion: We don't have evidence at $\alpha$ =0.10 to conclude that the fast food junkies hypothesis is correct.