Question

Timelimit: 3 hours. Il Show Intro/Instructions 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 88 58 92 75 Women 77 63 97 47 What can be concluded at the a=0.10 significance level? a. What is the correct statistical test to use? Independence Paired t-test Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? H: Breakfast ordered and gender are dependent. The distribution of breakfast ordered for men is not the same as it is for women. Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is the same as it is for women. ) & 7 4 5 6 8 9 0 R. 0 P انا مہ 11

Answer 1

a) Homogeneity

b) H0:The distribution of breakfast ordered for men is the same as it is for women.

H1:The distribution of breakfast ordered for men is not the same as it is for women.

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and (the chi-square statistic for each cell). The chi-square statistic, p-value and statement of significance appear beneath the table. Blue means you're dealing with dependent variables; red, independent. French Toast 88 (86.51) 10.03 77 (78.49) 10.03] Men Women Results Waffles 92 (99.09) [0.51] 97 (89.91) (0.56] Pancake 58 (63.44) (0.47] 63 (57.56) (0.51) Omelettes 75 (63.96) [1.90] 47 (58.04) (2.10 Row Totals 313 284 Column Totals 165 121 189 122 597 (Grand Total) The chi-square statistic is 6.1041. The p-value is . 106652. The result is not significant at p<.10.

c) The test statistic for this data=6.104

d) The p value for this sample=0.1067.

e)The p value is greater than $\alpha$ ​​​​​​.

f) Fail to reject the null is the correct option.

g) Thus the final conclusion is...

First option.

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