Direction: Perform what is being asked.

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 a = 0.05 to conclude that the proportions are really the same?

Store A B C D E

Number of Shoppers 262 234 204 190 210

a. The null hypothesis Ho:

b. The alternative hypothesis Ha:

c. The level of significance a =

d. The degrees Of freedom:

e. The test statistic:

f. The critical value:

g. Decision :

2 .Suppose that we have a 6-sided die. We assume that the die is unbiased (upon rolling the die, each outcome is equally likely). An experiment is conducted in which the die is rolled 240 times. The outcomes are in the table below. At a significance level of a = 0.05, is there enough evidence to support the hypothesis that the die is unbiased?

Outcome 1 2 3 4 5 6

Frequency 34 44 30 46 51 35

The null hypothesis Ho:

b. The alternative hypothesis Ha:

c. The level of significance a =

d. The degrees of freedom:

e. The test statistic:

f. The critical value:

g. Decision: