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 75 51 93 72 Women 67 64 109 60 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? Goodness-of-Fit O Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: Breakfast ordered and gender are dependent. Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is the same as it is for women. The distribution of breakfast ordered for men is not the same as it is for women.

Answer 1

The calculation of epected and chi square

B E A Observed Expected (O-E)^2 (0-E)^2/E 75 69.918 25.82672 0.369386 51 56.624 31.62938 0.558586 93 99.461 41.74452 0.419707 72 64.994 49.08404 0.755209 67 72.081 25.81656 0.35816 64 58.375 31.64063 0.542024 109 102.538 41.75744 0.407239 60 67.005 49.07002 0.732334 sum 4.142645

sola hiven data is men Women Total French Pancakes waffles Omelets 75 ऽ। 93 72 67 64 109 bo 142 IS 202 132 Total 291 300 591 a) chi-square goodness of fit. Lest 6) chi-square test of independence. b) The null and alternative hypothesis is Ho: Breakfast ordered and gender are independent Hai Breakfast ordered and gender are dependent 5) x² =E (0-E² E Expected Row total Xcolumn total total x² = 4.142 d) P-value 20.2465 e) P-value > 2(0.05) f) fail to reject the hull g) There is insufficient evidence to conclude that breakfast ordered and gender are dependent.