Based on the diagram shown, all of the following are true statements except: m21+mz2 = m 23+ m24 m21+ 25 = m 23 + m24 m21+ m26 = m 24+ m26 mz3+ m24 = m 27+ m24

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.