A department store has recently launched new sets of clothes. The store manager initially believes that each set of clot

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A department store has recently launched new sets of clothes. The store manager initially believes that each set of clot

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A department store has recently launched new sets of clothes. The store manager initially believes that each set of clothes is preferred in equal proportions by its buyers. Within six months after the launching, the store manager surveyed buyers on their choices of clothes. The results were as follow: Set of Clothes Set A Set B Set C No. of Buyers 47 45 40 Set of Clothes Set D Set E Set F No. of Buyers 39 35 34
To test whether there has been a change in the proportion of buyers' choices within six months after the launching of new clothes, the appropriate null and alternative hypothesis are A. Ho: PA = PB = Pc = PD = P = P = 1.00 HA: Not all population proportions are equal to 1.00. B. Ho: PA PB = Pc = Po = PE = PF = 0.17 HA: Not all population proportions are equal to 0.17. C. Ho: PA= 0.47, Pa= 0.45, pc = 0.40, Po= 0.39, Pe= 0.35, p = 0.34 HA: Not all population proportions equal their hypothesized values. D. He: PA + PB+ Pc+ Po+ PE+ Pr = 1.00 HA: Not all population proportions equal their hypothesized values.
What is the proportion of buyers who prefer clothes from Set B? A. 16.25% B. 16.67% C. 18.75% D. 19.58%
Calculate the degrees of freedom for the goodness-of-fit test above. A. 5 B. 6 C. 7 D. 8
The value of the test statistic for the goodness-of-fit test above is A. x² = 3.40 B. x² = 3.40 C. X² = 2.40 D. x² = 2.40
The p-value is A. less than 0.01 B. between 0.01 and 0.025 C. between 0.05 and 0.10 D. greater than 0.10
Using the p-value approach, the decision and conclusion for the test are A. do not reject Ho; we can conclude that there has been a change in the proportion of buyers' choices within six months after the launching of new clothes B. do not reject Ho; we cannot conclude that there has been a change in the proportion of buyers' choices within six months after the launching of new clothes C. reject Ho; we can conclude that there has been a change in the proportion of buyers' choices within six months after the launching of new clothes D. reject Ho; we cannot conclude that there has been a change in the proportion of buyers' choices within six months after the launching of new clothes
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