7.2.5 7.2.5. A survey of footwear preferences of a random sample of 100 undergra

Question

7.2.5 7.2.5. A survey of footwear preferences of a random sample of 100 undergraduate students (50 females and 50 males) from a large university resulted in the following data. Female 12 Male Boots Leather shoes Sneakers Sandals Other 12 17 9 12 10 7 10 4 (a) Let p, i -1, 2, 3, 4, 5, represent the respective true proportions of students with a particular footwear preference, and let Ho:p,-0.20, p,-0.20, p,-0.30, p.-0.20, ps = 0.10 versus Ha: At least one of the probabilities is different from the hypothesized value. Test this hypothesis using 0.05. students in this university is independent of their gender, using -0.05. (b) Test the hypothesis that the choice of footwear by undergraduate 7.2.6 A casino game involves rolling three dice, The winning are directly

Explanation / Answer

F is less than Critical F and hence cannot reject the null hypothesis

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Male 5 50 10 4.5 Female 5 50 10 24.5 Boots 2 22 11 2 Leather Shoes 2 21 10.5 4.5 Sneakers 2 29 14.5 12.5 Sandals 2 17 8.5 4.5 Other 2 11 5.5 4.5 ANOVA Source of Variation SS df MS F P-value F crit Rows 0 1 0 0 1 7.708647422 Columns 88 4 22 3.142857143 0.14666448 6.388232909 Error 28 4 7 Total 116 9

F is less than Critical F and hence cannot reject the null hypothesis

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