Question

Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown below, Frequencies of Breakfasts for Men and Women French Toast Pancakes Waffles Omelets Men 54 79 Women 109 120 What can be concluded at the a = 0.01 significance level? a What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: The distribution of breakfast ordered for men is not the same as it is for women Breakfast ordered and gender are independent Breakfast ordered and gender are dependent The distribution of breakfast ordered for men is the same as it is for women

Answer 1

#Different Breakfast problem:

a)

Homogeneity (Chi-sq)

b)

Null: The distribution of breakfast ordered by men is the same as it is for women

vs.

Alt: The distribution of breakfast ordered by men is not the same as it is for women

C Test statistie : **s I (01-E3) = .+ (54-8373 (109-79)? 79 54 S = 15.603 (Aus) d) p-valme= 0.0014 (Aus) -value = 0.00 14 (Ans . ated by using p-vame calculator ] e) p-value is <a ( 0-0014 <0.01) 9 Conclusion: There is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women.