Math Problem Solver

1. A department store, A, has four competitors: B, C, D, and E. Store A hires a consultant to determine

if the percentage of shoppers who prefer each of the five (5) stores is the same. A survey with 1100

randomly selected shoppers is conducted, and below are the results of which one of the store's

shoppers prefer. Is there enough evidence using a significance level 𝛼𝛼 = 0.05 to conclude that the

proportions are really the same? (7 items x 3 points)

$$\begin{bmatrix} store& a & b& c& d & e\\\\ numbers of shoppers& 262& 234& 204& 190 & 210 \end{bmatrix}$$

a. The null hypothesis 𝐻𝐻0:

b. The alternative hypothesis 𝐻𝐻𝑎𝑎:

c. The level of significance 𝛼𝛼 =

d. The degrees of freedom:

e. The test statistic:

f. The critical value:

g. Decision: