1. A department store, A, has four competitors: B, C, D, and E. Store A hires consultant to determine if the percentage of shoppers who prefer each of the five stores is the same. A survey

of 1100 randomly selected shoppers is conducted, and the results about which one of the stores

shoppers prefer are below. Is there enough evidence using a significance levelα= 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​

Agroup of randomly selected apple valley high school students were asked to pick their favorite gym class. the table below shows the results of the survey. there are 528 students at apple valley high school. gym class number of students racquet sports 1 team sports 9 track and field 17 bowling 13 based on the data, what is the most reasonable estimate for the number of students at apple valley high school whose favorite gym class is bowling? choose 1 answer a. 9 b. 13 c. 119 d. 172

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.