GE1707
04 Activity 1 *Property of STI
Page 1 of 1
Direction: Perform what is being asked. (42 points)
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 ๐ผ๐ผ= 0.05 to conclude that the
proportions are really the same? (7 items x 3 points)
Store A B C D E
Number of Shoppers 262 234 204 190 210
a. The null hypothesis ๐ป๐ป0:
b. The alternative hypothesis ๐ป๐ป๐๐:
c. The level of significance ๐ผ๐ผ=
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 ๐ผ๐ผ= 0.05, is there enough evidence to
support the hypothesis that the die is unbiased? (7 items x 3 points)
Outcome
1
2
3
4
5
6
Frequency
34
44
30
46
51
35
a. The null hypothesis ๐ป๐ป0:
b. The alternative hypothesis ๐ป๐ป๐๐:
c. The level of significance ๐ผ๐ผ=
d. The degrees of freedom:
e. The test statistic:
f. The critical value:
g. Decision:
Group Members:
Section:
Date:
Score:
