There are 3 cards in a hat one is a king, one is a queen, and one is an ace. two cards are to be selected at random with replacement using a tree diagram, obtain the sample space for the experiment. then, find the probability that a king and a queen are selected.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.